@article {alexeev,
    AUTHOR = {Alekseev, V. A.},
     TITLE = {On conditions for the rationality of three-folds with a pencil
              of del {P}ezzo surfaces of degree {$4$}},
   JOURNAL = {Mat. Zametki},
  FJOURNAL = {Akademiya Nauk SSSR. Matematicheskie Zametki},
    VOLUME = {41},
      YEAR = {1987},
    NUMBER = {5},
     PAGES = {724--730, 766},
      ISSN = {0025-567X},
   MRCLASS = {14J30 (14E35 14K30)},
  MRNUMBER = {898133 (88j:14048)},
MRREVIEWER = {I. Dolgachev},
}

@article {arason,
    AUTHOR = {Arason, J{\'o}n Kr.},
     TITLE = {Cohomologische invarianten quadratischer {F}ormen},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {36},
      YEAR = {1975},
    NUMBER = {3},
     PAGES = {448--491},
      ISSN = {0021-8693},
   MRCLASS = {10C05 (18F25)},
  MRNUMBER = {0389761},
MRREVIEWER = {Horst Pfeuffer},
}

@article {ArtMum,
    AUTHOR = {Artin, M. and Mumford, D.},
     TITLE = {Some elementary examples of unirational varieties which are
              not rational},
   JOURNAL = {Proc. London Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {25},
      YEAR = {1972},
     PAGES = {75--95},
      ISSN = {0024-6115},
   MRCLASS = {14J10 (14F25)},
  MRNUMBER = {0321934 (48 \#299)},
MRREVIEWER = {M. Nagata},
}

@article {auel-co,
    AUTHOR = {Auel, Asher and Parimala, R. and Suresh, V.},
     TITLE = {Quadric surface bundles over surfaces},
   JOURNAL = {Doc. Math.},
  FJOURNAL = {Documenta Mathematica},
      YEAR = {2015},
    NUMBER = {Extra vol.: Alexander S. Merkurjev's sixtieth birthday},
     PAGES = {31--70},
      ISSN = {1431-0635},
   MRCLASS = {14J60 (11E08 11E88 14F22 16H05)},
  MRNUMBER = {3404375},
}


@article {batyrev-cox,
    AUTHOR = {Batyrev, Victor V. and Cox, David A.},
     TITLE = {On the {H}odge structure of projective hypersurfaces in toric
              varieties},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {75},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {293--338},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
   MRCLASS = {14M25 (14C30 14D07 14F10)},
  MRNUMBER = {1290195},
MRREVIEWER = {I. Dolgachev},
       DOI = {10.1215/S0012-7094-94-07509-1},
       URL = {http://dx.doi.org/10.1215/S0012-7094-94-07509-1},
}
@article {Beau77,
    AUTHOR = {Beauville, Arnaud},
     TITLE = {Vari\'et\'es de {P}rym et jacobiennes interm\'ediaires},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
              Quatri\`eme S\'erie},
    VOLUME = {10},
      YEAR = {1977},
    NUMBER = {3},
     PAGES = {309--391},
      ISSN = {0012-9593},
   MRCLASS = {14K30 (14C30 14J99 14M20)},
  MRNUMBER = {0472843 (57 \#12532)},
MRREVIEWER = {T. Oda},
}


@article {beau-det,
    AUTHOR = {Beauville, Arnaud},
     TITLE = {Determinantal hypersurfaces},
      NOTE = {Dedicated to William Fulton on the occasion of his 60th
              birthday},
   JOURNAL = {Michigan Math. J.},
  FJOURNAL = {The Michigan Mathematical Journal},
    VOLUME = {48},
      YEAR = {2000},
     PAGES = {39--64},
      ISSN = {0026-2285},
   MRCLASS = {14M12 (14J70)},
  MRNUMBER = {1786479},
MRREVIEWER = {Laurent Manivel},
       DOI = {10.1307/mmj/1030132707},
       URL = {http://dx.doi.org/10.1307/mmj/1030132707},
}
		
@misc {beau-survey,
 AUTHOR = {Beauville, Arnaud},
     TITLE = {The {L}\"uroth problem},
     note = {{\tt  arXiv:1507.02476}},
     year = {2015},
}

@article {Beau-AG,
    AUTHOR = {Beauville, Arnaud},
     TITLE = {A very general quartic double fourfold or fivefold is not
              stably rational},
   JOURNAL = {Algebr. Geom.},
  FJOURNAL = {Algebraic Geometry},
    VOLUME = {2},
      YEAR = {2015},
    NUMBER = {4},
     PAGES = {508--513},
      ISSN = {2214-2584},
   MRCLASS = {14E20 (14E08)},
  MRNUMBER = {3403239},
}

@article {Beau-AG-E,
    AUTHOR = {Beauville, Arnaud},
     TITLE = {
Erratum: A very general quartic double fourfold or fivefold is not stably rational (Algebraic Geometry 2, no. 4 (2015), 508-513)},
   JOURNAL = {Algebr. Geom.},
  FJOURNAL = {Algebraic Geometry},
    VOLUME = {3},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {137--137},
}


@article {beau-6,
    AUTHOR = {Beauville, Arnaud},
     TITLE = {A very general sextic double solid is not stably rational},
   JOURNAL = {Bull. Lond. Math. Soc.},
  FJOURNAL = {Bulletin of the London Mathematical Society},
    VOLUME = {48},
      YEAR = {2016},
    NUMBER = {2},
     PAGES = {321--324},
      ISSN = {0024-6093},
   MRCLASS = {14-XX},
  MRNUMBER = {3483069},
       DOI = {10.1112/blms/bdv098},
       URL = {http://dx.doi.org/10.1112/blms/bdv098},
     note = {{\tt  arXiv:1411.7484}},
}

@incollection {Beau86,
    AUTHOR = {Beauville, Arnaud},
     TITLE = {Le groupe de monodromie des familles universelles
              d'hypersurfaces et d'intersections compl\`etes},
 BOOKTITLE = {Complex analysis and algebraic geometry ({G}\"ottingen, 1985)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1194},
     PAGES = {8--18},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1986},
   MRCLASS = {14J10 (14D05 14H10 14M10)},
  MRNUMBER = {855873 (87m:14035)},
MRREVIEWER = {I. Dolgachev},
       DOI = {10.1007/BFb0076991},
       URL = {http://dx.doi.org/10.1007/BFb0076991},
}


@article {CDK,
    AUTHOR = {Cattani, Eduardo and Deligne, Pierre and Kaplan, Aroldo},
     TITLE = {On the locus of {H}odge classes},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {8},
      YEAR = {1995},
    NUMBER = {2},
     PAGES = {483--506},
      ISSN = {0894-0347},
   MRCLASS = {14D07 (14C30 32G20 32J25)},
  MRNUMBER = {1273413},
MRREVIEWER = {Claire Voisin},
       DOI = {10.2307/2152824},
       URL = {http://dx.doi.org/10.2307/2152824},
}

@article {CCG,
    AUTHOR = {Carlini, Enrico and Chiantini, Luca and Geramita, Anthony V.},
     TITLE = {Complete intersections on general hypersurfaces},
      NOTE = {Special volume in honor of Melvin Hochster},
   JOURNAL = {Michigan Math. J.},
  FJOURNAL = {Michigan Mathematical Journal},
    VOLUME = {57},
      YEAR = {2008},
     PAGES = {121--136},
      ISSN = {0026-2285},
   MRCLASS = {14M10 (13C40 14J70)},
  MRNUMBER = {2492444 (2010b:14098)},
MRREVIEWER = {Juan C. Migliore},
       DOI = {10.1307/mmj/1220879400},
       URL = {http://dx.doi.org/10.1307/mmj/1220879400},
}

@article {Cheltsov-NNQT,
    AUTHOR = {Cheltsov, Ivan},
     TITLE = {Nonrational nodal quartic threefolds},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {226},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {65--81},
      ISSN = {0030-8730},
     CODEN = {PJMAAI},
   MRCLASS = {14E08 (14J30 14J45 14M20)},
  MRNUMBER = {2247856 (2007e:14024)},
MRREVIEWER = {Massimiliano Mella},
       DOI = {10.2140/pjm.2006.226.65},
       URL = {http://dx.doi.org/10.2140/pjm.2006.226.65},
}
		
@article {ct-pirutka, 
author = {Jean-Louis Colliot-Th\'el\`ene and Alena Pirutka}, 
title = {Hypersurfaces quartiques de dimension 3 : non rationalit\'e stable}, 
JOURNAL = {Ann. Sci. ENS},
FJOURNAL = {Ann. Sci. ENS},
VOLUME = {49},
      YEAR = {2016},
    NUMBER = {2},
     PAGES = {735--801},

}

@article {ct-pir-cyclic,
author = {Jean-Louis Colliot-Th\'el\`ene and Alena Pirutka}, 
title = {Cyclic covers that are not stably rational},
note = {{\tt arXiv:1506.0042v2}},
journal = {Izvestiya RAN, Ser. Math.},
volume = {80},
year = {2016},
 NUMBER = {4}
}


@article {CTV,
    AUTHOR = {Colliot-Th{\'e}l{\`e}ne, Jean-Louis and Voisin, Claire},
     TITLE = {Cohomologie non ramifi\'ee et conjecture de {H}odge enti\`ere},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {161},
      YEAR = {2012},
    NUMBER = {5},
     PAGES = {735--801},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
   MRCLASS = {14F43 (14C30 14E05)},
  MRNUMBER = {2904092},
MRREVIEWER = {Christian Schnell},
       DOI = {10.1215/00127094-1548389},
       URL = {http://dx.doi.org/10.1215/00127094-1548389},
}


@article {DG,
    AUTHOR = {Donagi, R. and Green, M. L.},
     TITLE = {A new proof of the symmetrizer lemma and a stronger weak
              {T}orelli theorem for projective hypersurfaces},
   JOURNAL = {J. Differential Geom.},
  FJOURNAL = {Journal of Differential Geometry},
    VOLUME = {20},
      YEAR = {1984},
    NUMBER = {2},
     PAGES = {459--461},
      ISSN = {0022-040X},
     CODEN = {JDGEAS},
   MRCLASS = {14J15},
  MRNUMBER = {788289},
MRREVIEWER = {Mei Chu Chang},
       URL = {http://projecteuclid.org/euclid.jdg/1214439288},
}
	




@article {vG,
    AUTHOR = {van Geemen, Bert},
     TITLE = {Some remarks on {B}rauer groups of {$K3$} surfaces},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {197},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {222--247},
      ISSN = {0001-8708},
     CODEN = {ADMTA4},
   MRCLASS = {14F22 (14E20 14J27 14J28)},
  MRNUMBER = {2166182 (2006h:14025)},
MRREVIEWER = {Tihomir A. Petrov},
       DOI = {10.1016/j.aim.2004.10.004},
       URL = {http://dx.doi.org/10.1016/j.aim.2004.10.004},
}


@book {GM,
    AUTHOR = {Goresky, Mark and MacPherson, Robert},
     TITLE = {Stratified {M}orse theory},
    SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results
              in Mathematics and Related Areas (3)]},
    VOLUME = {14},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {1988},
     PAGES = {xiv+272},
      ISBN = {3-540-17300-5},
   MRCLASS = {57R70 (14F45 32C10 32C42 57N80 58A35 58C27)},
  MRNUMBER = {932724},
MRREVIEWER = {K. Lamotke},
       DOI = {10.1007/978-3-642-71714-7},
       URL = {http://dx.doi.org/10.1007/978-3-642-71714-7},
}
		


@article {HarTu,
    AUTHOR = {Harris, Joe and Tu, Loring W.},
     TITLE = {On symmetric and skew-symmetric determinantal varieties},
   JOURNAL = {Topology},
  FJOURNAL = {Topology. An International Journal of Mathematics},
    VOLUME = {23},
      YEAR = {1984},
    NUMBER = {1},
     PAGES = {71--84},
      ISSN = {0040-9383},
     CODEN = {TPLGAF},
   MRCLASS = {14M12 (32L10 58A14)},
  MRNUMBER = {721453 (85c:14032)},
MRREVIEWER = {Ragni Piene},
       DOI = {10.1016/0040-9383(84)90026-0},
       URL = {http://dx.doi.org/10.1016/0040-9383(84)90026-0},
}
	

@article {hassett-JAG,
    AUTHOR = {Hassett, Brendan},
     TITLE = {Some rational cubic fourfolds},
   JOURNAL = {J. Algebraic Geom.},
  FJOURNAL = {Journal of Algebraic Geometry},
    VOLUME = {8},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {103--114},
      ISSN = {1056-3911},
   MRCLASS = {14J35 (14C30 14E08 14M20)},
  MRNUMBER = {1658216},
MRREVIEWER = {Kristian Ranestad},
}


@misc {HKT,
   AUTHOR = {Hassett, Brendan and Kresch, Andrew and Tschinkel, Yuri},
    TITLE = {On the moduli of degree $4$ {D}el {P}ezzo surfaces},
     NOTE = {To appear in the proceedings of the `{D}evelopment of {M}oduli {T}heory' conference in honor of {S}. {M}ukai's 60th birthday, {\tt{arXiv:1312.6734}}},
     year = {2015}, 
}




@article {HKT-conic,
   AUTHOR = {Hassett, Brendan and Kresch, Andrew and Tschinkel, Yuri},
      TITLE = {Stable rationality and conic bundles},
	journal ={Math. Annalen},
         note = {{\tt arXiv:1503.08497}},
        volume  = {to appear},
	year = {2015}, 
}





@misc {HPT,
   AUTHOR = {Hassett, Brendan and Pirutka, Alena and Tschinkel, Yuri},
      TITLE = {Stable rationality quadric surface bundles over surfaces},
         note = {{\tt  arXiv:1603.09262}},
       	year = {2016}, 
}







@article {HTCEJM,
    AUTHOR = {Hassett, Brendan and Tschinkel, Yuri},
     TITLE = {Quartic del {P}ezzo surfaces over function fields of curves},
   JOURNAL = {Cent. Eur. J. Math.},
  FJOURNAL = {Central European Journal of Mathematics},
    VOLUME = {12},
      YEAR = {2014},
    NUMBER = {3},
     PAGES = {395--420},
      ISSN = {1895-1074},
   MRCLASS = {14D10 (14D05 14G05 14H40 14J10 14J45)},
  MRNUMBER = {3145898},
       DOI = {10.2478/s11533-013-0354-1},
       URL = {http://dx.doi.org/10.2478/s11533-013-0354-1},
}





@article {HaVA,
    AUTHOR = {Hassett, Brendan and V{\'a}rilly-Alvarado, Anthony},
     TITLE = {Failure of the {H}asse principle on general {$K3$} surfaces},
   JOURNAL = {J. Inst. Math. Jussieu},
  FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ.
              Journal de l'Institut de Math\'ematiques de Jussieu},
    VOLUME = {12},
      YEAR = {2013},
    NUMBER = {4},
     PAGES = {853--877},
      ISSN = {1474-7480},
   MRCLASS = {11G35 (14F22 14G05)},
  MRNUMBER = {3103134},
MRREVIEWER = {J{\"o}rg Jahnel},
}
		

@article {IlMark,
    AUTHOR = {Iliev, A. and Markushevich, D.},
     TITLE = {The {A}bel-{J}acobi map for a cubic threefold and periods of
              {F}ano threefolds of degree 14},
   JOURNAL = {Doc. Math.},
  FJOURNAL = {Documenta Mathematica},
    VOLUME = {5},
      YEAR = {2000},
     PAGES = {23--47 (electronic)},
      ISSN = {1431-0635},
   MRCLASS = {14J30 (14J45 14J60 14K30)},
  MRNUMBER = {1739270 (2000m:14042)},
MRREVIEWER = {Jan Nagel},
}
		


@incollection {isk-prokhorov,
    AUTHOR = {Iskovskikh, V. A. and Prokhorov, Yu. G.},
     TITLE = {Fano varieties},
 BOOKTITLE = {Algebraic geometry, {V}},
    SERIES = {Encyclopaedia Math. Sci.},
    VOLUME = {47},
     PAGES = {1--247},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1999},
   MRCLASS = {14J45 (14E07 14F22 14K30)},
  MRNUMBER = {1668579 (2000b:14051b)},
MRREVIEWER = {Takao Fujita},
}

@Misc{M2,
          author = {Grayson, Daniel R. and Stillman, Michael E.},
          title = {Macaulay2, a software system for research in algebraic geometry},
          howpublished = {Available at \url{http://www.math.uiuc.edu/Macaulay2/}}
        }



@article {MoriMukai-manuscripta,
    AUTHOR = {Mori, Shigefumi and Mukai, Shigeru},
     TITLE = {Classification of {F}ano {$3$}-folds with {$B_{2}\geq 2$}},
   JOURNAL = {Manuscripta Math.},
  FJOURNAL = {Manuscripta Mathematica},
    VOLUME = {36},
      YEAR = {1981/82},
    NUMBER = {2},
     PAGES = {147--162},
      ISSN = {0025-2611},
     CODEN = {MSMHB2},
   MRCLASS = {14J30 (14J10)},
  MRNUMBER = {641971 (83f:14032)},
MRREVIEWER = {Mary Schaps},
       DOI = {10.1007/BF01170131},
       URL = {http://dx.doi.org/10.1007/BF01170131},
}

@incollection {MoriMukai-ASPM,
    AUTHOR = {Mori, Shigefumi and Mukai, Shigeru},
     TITLE = {On {F}ano {$3$}-folds with {$B_{2}\geq 2$}},
 BOOKTITLE = {Algebraic varieties and analytic varieties ({T}okyo, 1981)},
    SERIES = {Adv. Stud. Pure Math.},
    VOLUME = {1},
     PAGES = {101--129},
 PUBLISHER = {North-Holland, Amsterdam},
      YEAR = {1983},
   MRCLASS = {14J30},
  MRNUMBER = {715648 (85b:14055)},
MRREVIEWER = {I. Dolgachev},
}
		
		

@incollection {NikQuot,
    AUTHOR = {Nikulin, V. V.},
     TITLE = {Quotient-groups of groups of automorphisms of hyperbolic forms
              by subgroups generated by {$2$}-reflections.
              {A}lgebro-geometric applications},
 BOOKTITLE = {Current problems in mathematics, {V}ol. 18},
     PAGES = {3--114},
 PUBLISHER = {Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii,
              Moscow},
      YEAR = {1981},
   MRCLASS = {10C02 (14J25)},
  MRNUMBER = {633160 (83c:10030)},
MRREVIEWER = {I. Dolgachev},
}

@misc {okada,
    AUTHOR = {Okada, Takuzo},
     TITLE = {Stable rationality of cyclic covers of projective spaces},
      NOTE = {{\tt arXiv:1604.08417}},
      YEAR = {2016},
}



@article {persson,
    AUTHOR = {Persson, Ulf},
     TITLE = {Horikawa surfaces with maximal {P}icard numbers},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {259},
      YEAR = {1982},
    NUMBER = {3},
     PAGES = {287--312},
      ISSN = {0025-5831},
     CODEN = {MAANA3},
   MRCLASS = {14J05 (14J25)},
  MRNUMBER = {661198},
MRREVIEWER = {G. van der Geer},
       DOI = {10.1007/BF01456942},
       URL = {http://dx.doi.org/10.1007/BF01456942},
}


@misc{pirutka-survol, 
author = {Pirutka, Alena},
title = {Varieties that are not stably rational, zero-cycles and unramified cohomology},
note = {{\tt  arXiv:1603.09261}},
year = {2016},
}


@article {Voisin,
    AUTHOR = {Voisin, Claire},
     TITLE = {Unirational threefolds with no universal codimension {$2$}
              cycle},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {201},
      YEAR = {2015},
    NUMBER = {1},
     PAGES = {207--237},
      ISSN = {0020-9910},
   MRCLASS = {14M20},
  MRNUMBER = {3359052},
       DOI = {10.1007/s00222-014-0551-y},
       URL = {http://dx.doi.org/10.1007/s00222-014-0551-y},
}



@article {CTS,
    AUTHOR = {Colliot-Th{\'e}l{\`e}ne, J.-L. and Skorobogatov, A. N.},
     TITLE = {{$R$}-equivalence on conic bundles of degree {$4$}},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {54},
      YEAR = {1987},
    NUMBER = {2},
     PAGES = {671--677},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
   MRCLASS = {14J20 (11E76 14C25 14J26)},
  MRNUMBER = {899411 (88i:14032)},
MRREVIEWER = {Noriko Yui},
       DOI = {10.1215/S0012-7094-87-05429-9},
       URL = {http://dx.doi.org/10.1215/S0012-7094-87-05429-9},
}
	

@article {CorKun,
    AUTHOR = {Cortella, Anne and Kunyavski{\u\i}, Boris},
     TITLE = {Rationality problem for generic tori in simple groups},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {225},
      YEAR = {2000},
    NUMBER = {2},
     PAGES = {771--793},
      ISSN = {0021-8693},
     CODEN = {JALGA4},
   MRCLASS = {14L10 (14E08)},
  MRNUMBER = {1741561 (2001c:14070)},
MRREVIEWER = {Tatiana V. Fomina},
       DOI = {10.1006/jabr.1999.8150},
       URL = {http://dx.doi.org/10.1006/jabr.1999.8150},
}




@article {Sal,
    AUTHOR = {Salberger, P.},
     TITLE = {Zero-cycles on rational surfaces over number fields},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {91},
      YEAR = {1988},
    NUMBER = {3},
     PAGES = {505--524},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {14C25 (11G35 11R34 14G25 19E15)},
  MRNUMBER = {928495 (89c:14010)},
MRREVIEWER = {K. R. Coombes},
       DOI = {10.1007/BF01388784},
       URL = {http://dx.doi.org/10.1007/BF01388784},
}


@article {Sar,
    AUTHOR = {Sarkisov, V. G.},
     TITLE = {On conic bundle structures},
   JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
  FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
    VOLUME = {46},
      YEAR = {1982},
    NUMBER = {2},
     PAGES = {371--408, 432},
      ISSN = {0373-2436},
   MRCLASS = {14J40 (14E05 14J10)},
  MRNUMBER = {651652 (84h:14047)},
MRREVIEWER = {Daniel Coray},
}
@article {sko,
    AUTHOR = {Skorobogatov, Alexei N.},
     TITLE = {On a theorem of {E}nriques-{S}winnerton-{D}yer},
   JOURNAL = {Ann. Fac. Sci. Toulouse Math. (6)},
  FJOURNAL = {Toulouse. Facult\'e des Sciences. Annales. Math\'ematiques.
              S\'erie 6},
    VOLUME = {2},
      YEAR = {1993},
    NUMBER = {3},
     PAGES = {429--440},
      ISSN = {0240-2955},
   MRCLASS = {14G05 (14J26 14M15)},
  MRNUMBER = {1260765 (95b:14018)},
MRREVIEWER = {P. Abellanas},
       URL = {http://www.numdam.org/item?id=AFST_1993_6_2_3_429_0},
}


@article {Springer,
    AUTHOR = {Springer, Tonny Albert},
     TITLE = {Sur les formes quadratiques d'indice z\'ero},
   JOURNAL = {C. R. Acad. Sci. Paris},
    VOLUME = {234},
      YEAR = {1952},
     PAGES = {1517--1519},
   MRCLASS = {09.1X},
  MRNUMBER = {0047021},
MRREVIEWER = {W. H. Durfee},
}
	


@article {totaro-JAMS,
    AUTHOR = {Totaro, Burt},
     TITLE = {Hypersurfaces that are not stably rational},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {29},
      YEAR = {2016},
    NUMBER = {3},
     PAGES = {883--891},
      ISSN = {0894-0347},
   MRCLASS = {14E08 (14J45 14J70)},
  MRNUMBER = {3486175},
       DOI = {10.1090/jams/840},
       URL = {http://dx.doi.org/10.1090/jams/840},
}

@misc {totaro-15,
   AUTHOR = {Totaro, Burt},
    TITLE = {Rationality does not specialize among terminal
		varieties},
     NOTE = {{\tt arXiv:1506:00968}},
     YEAR = {2015},
}

   


@misc{voisin-stable,
AUTHOR = {Voisin, Claire},
     TITLE = {({S}table) rationality is not deformation invariant},
     note = {{\tt arXiv:1511.03591}},
     year = {2015},
     }


@book {voisin-book,
    AUTHOR = {Voisin, Claire},
     TITLE = {Hodge theory and complex algebraic geometry. {II}},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {77},
   EDITION = {English},
      NOTE = {Translated from the French by Leila Schneps},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {2007},
     PAGES = {x+351},
      ISBN = {978-0-521-71802-8},
   MRCLASS = {32J25 (14C30 14D07 32G20)},
  MRNUMBER = {2449178},
}
	

@article {VoisinJEMS,
    AUTHOR = {Voisin, Claire},
     TITLE = {On the universal {$\CH_0$} group of cubic hypersurfaces},
  JOURNAL = {J. Eur. Math. Soc. (JEMS)},
  FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
    volume = {to appear},
    NOTE = {{\tt arXiv:1407.7261v2}},
    YEAR = {2014},
}



@article {Vos2,
    AUTHOR = {Voskresenskii, Valentin E.},
     TITLE = {Stably rational algebraic tori},
      NOTE = {Les XX{\`e}mes Journ{\'e}es Arithm{\'e}tiques (Limoges, 1997)},
   JOURNAL = {J. Th\'eor. Nombres Bordeaux},
  FJOURNAL = {Journal de Th\'eorie des Nombres de Bordeaux},
    VOLUME = {11},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {263--268},
      ISSN = {1246-7405},
   MRCLASS = {14E08 (14L15 14M20)},
  MRNUMBER = {1730444 (2001d:14019)},
MRREVIEWER = {Philippe Gille},
       URL = {http://jtnb.cedram.org/item?id=JTNB_1999__11_1_263_0},
}