@book {Bea96,
	AUTHOR = {Beauville, Arnaud},
	TITLE = {Complex {A}lgebraic {S}urfaces},
	SERIES = {London Mathematical Society Student Texts},
	VOLUME = {34},
	EDITION = {Second},
	NOTE = {Translated from the 1978 French original by R. Barlow, with assistance from N. I. Shepherd-Barron and M. Reid},
	PUBLISHER = {Cambridge University Press, Cambridge},
	YEAR = {1996},
	PAGES = {x+132},
	ISBN = {0-521-49510-5; 0-521-49842-2},
	MRCLASS = {14Jxx (14-02)},
	MRNUMBER = {1406314},
	DOI = {10.1017/CBO9780511623936},
	URL = {http://dx.doi.org/10.1017/CBO9780511623936},
}

@misc {Bor15,
	AUTHOR = {Borisov, Lev},
	TITLE = {The class of the affine line is a zero divisor in the {G}rothendieck Ring},
	YEAR = {2015},
	NOTE = {arXiv:1412.6194v3},
}

@article {CG72,
	AUTHOR = {Clemens, C. Herbert and Griffiths, Phillip A.},
	TITLE = {The intermediate {J}acobian of the cubic threefold},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {95},
	YEAR = {1972},
	PAGES = {281--356},
	ISSN = {0003-486X},
	MRCLASS = {14J10 (14G13 14J05 14K20 14M20 14N99)},
	MRNUMBER = {0302652},
	MRREVIEWER = {H. Popp},
}

@article {CK89,
	AUTHOR = {Crauder, Bruce and Katz, Sheldon},
	TITLE = {Cremona transformations with smooth irreducible fundamental locus},
	JOURNAL = {Amer. J. Math.},
	FJOURNAL = {American Journal of Mathematics},
	VOLUME = {111},
	YEAR = {1989},
	NUMBER = {2},
	PAGES = {289--307},
	ISSN = {0002-9327},
	CODEN = {AJMAAN},
	MRCLASS = {14E05 (14E07 14J25)},
	MRNUMBER = {987759},
	MRREVIEWER = {Marino Palleschi},
	DOI = {10.2307/2374511},
	URL = {http://dx.doi.org/10.2307/2374511},
}

@misc {DGPS,
	Title = {{\sc Singular} {4-0-2} --- {A} computer algebra system for polynomial computations},
	Author = {Decker, Wolfram and Greuel, Gert-Martin and Pfister, Gerhard and Sch\"onemann, Hans},
	Year = {2015},
	howpublished = {\url{http://www.singular.uni-kl.de}},
}

@book {Dol12,
	AUTHOR = {Dolgachev, Igor V.},
	TITLE = {Classical Algebraic Geometry: A Modern View},
	PUBLISHER = {Cambridge University Press, Cambridge},
	YEAR = {2012},
	PAGES = {xii+639},
	ISBN = {978-1-107-01765-8},
	MRCLASS = {14-02 (14-01)},
	MRNUMBER = {2964027},
	MRREVIEWER = {Arnaud Beauville},
	DOI = {10.1017/CBO9781139084437},
	URL = {http://dx.doi.org/10.1017/CBO9781139084437},
}

@book {Ful98,
	AUTHOR = {Fulton, William},
	TITLE = {Intersection theory},
	SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics},
	VOLUME = {2},
	EDITION = {2nd},
	PUBLISHER = {Springer-Verlag, Berlin},
	YEAR = {1998},
	PAGES = {xiv+470},
	ISBN = {3-540-62046-X; 0-387-98549-2},
	MRCLASS = {14C17 (14-02)},
	MRNUMBER = {1644323},
	DOI = {10.1007/978-1-4612-1700-8},
	URL = {http://dx.doi.org/10.1007/978-1-4612-1700-8},
}

@misc {GS14,
	AUTHOR = {Galkin, Sergey and Shinder, Evgeny},
	TITLE = {The {F}ano variety of lines and rationality problem for a cubic hypersurface},
	YEAR = {2014},
	NOTE = {arXiv:1405.5154v2},
}

@incollection {Has16,
	AUTHOR = {Hassett, Brendan},
	TITLE = {Cubic fourfolds, {K}3 surfaces, and rationality questions},
	BOOKTITLE = {Rationality Problems in Algebraic Geometry},
	YEAR  = {2016},
	SERIES = {Lecture Notes in Mathematics},
 	VOLUME = {2172},
	PUBLISHER = {Springer, Cham; Fondazione C.I.M.E., Florence},
}

@incollection {HLOY03,
	AUTHOR = {Hosono, Shinobu and Lian, Bong H. and Oguiso, Keiji and Yau, Shing-Tung},
	TITLE = {Fourier-{M}ukai partners of a {K}3 surface of {P}icard number one},
	BOOKTITLE = {Vector bundles and representation theory ({C}olumbia, {MO}, 2002)},
	SERIES = {Contemp. Math.},
	VOLUME = {322},
	PAGES = {43--55},
	PUBLISHER = {Amer. Math. Soc., Providence, RI},
	YEAR = {2003},
	MRCLASS = {14J28 (18E30)},
	MRNUMBER = {1987738},
	MRREVIEWER = {Bal{\'a}zs Szendr{\"o}i},
	DOI = {10.1090/conm/322/05678},
	URL = {http://dx.doi.org/10.1090/conm/322/05678},
}

@article {IM04,
	AUTHOR = {Iliev, Atanas and Markushevich, Dimitri},
	TITLE = {Elliptic curves and rank-2 vector bundles on the prime {F}ano threefold of genus 7},
	JOURNAL = {Adv. Geom.},
	FJOURNAL = {Advances in Geometry},
	VOLUME = {4},
	YEAR = {2004},
	NUMBER = {3},
	PAGES = {287--318},
	ISSN = {1615-715X},
	MRCLASS = {14J60 (14J30 14J45)},
	MRNUMBER = {2071808},
	MRREVIEWER = {Mark Gross},
	DOI = {10.1515/advg.2004.018},
	URL = {http://dx.doi.org/10.1515/advg.2004.018},
}

@misc {IMOU16G2,
	AUTHOR = {Ito, Atsushi and Miura, Makoto and Okawa, Shinnosuke and Ueda, Kazushi},
	TITLE = {The class of the affine line is a zero divisor in the {G}rothendieck ring: via {$G_2$}-{G}rassmannians},
	YEAR = {2016},
	NOTE = {arXiv:1606.04210v2},
}

@misc {IMOU16K3,
	AUTHOR = {Ito, Atsushi and Miura, Makoto and Okawa, Shinnosuke and Ueda, Kazushi},
	TITLE = {The class of the affine line is a zero divisor in the {G}rothendieck ring: via {K}3 surfaces of degree 12},
	YEAR = {2016},
	NOTE = {arXiv:1612.08497v1},
}

@misc {KS16,
	AUTHOR = {Kuznetsov, Alexander and Shinder, Evgeny},
	TITLE = {Grothendieck ring of varieties, {D}- and {L}-equivalence, and families of quadrics},
	YEAR = {2016},
	NOTE = {arXiv:1612.07193v1},
}

@article {Kuz06,
	AUTHOR = {Kuznetsov, A. G.},
	TITLE = {Hyperplane sections and derived categories},
	JOURNAL = {Izv. Math.},
	VOLUME = {70},
	YEAR = {2006},
	NUMBER = {3},
	PAGES = {447--547},
	MRCLASS = {14F05 (18E30)},
	MRNUMBER = {2238172},
}

@misc {Kuz16,
	AUTHOR = {Kuznetsov, Alexander},
	TITLE = {Derived equivalence of {I}to-{M}iura-{O}kawa-{U}eda {C}alabi-{Y}au 3-folds},
	YEAR = {2016},
	NOTE = {arXiv:1611.08386v1},
}

@article {LL03,
	AUTHOR = {Larsen, Michael and Lunts, Valery A.},
	TITLE = {Motivic measures and stable birational geometry},
	JOURNAL = {Mosc. Math. J.},
	FJOURNAL = {Moscow Mathematical Journal},
	VOLUME = {3},
	YEAR = {2003},
	NUMBER = {1},
	PAGES = {85--95, 259},
	ISSN = {1609-3321},
	MRCLASS = {14F43 (11S40 14E08)},
	MRNUMBER = {1996804},
	MRREVIEWER = {Dan Abramovich},
}

@incollection {Mar11,
	AUTHOR = {Markman, Eyal},
	TITLE = {A survey of {T}orelli and monodromy results for holomorphic-symplectic varieties},
	BOOKTITLE = {Complex and differential geometry},
	SERIES = {Springer Proc. Math.},
	VOLUME = {8},
	PAGES = {257--322},
	PUBLISHER = {Springer, Heidelberg},
	YEAR = {2011},
	MRCLASS = {14D07 (14J15 32G20 53C26)},
	MRNUMBER = {2964480},
	MRREVIEWER = {Kieran G. O'Grady},
	DOI = {10.1007/978-3-642-20300-8_15},
	URL = {http://dx.doi.org/10.1007/978-3-642-20300-8_15},
}

@incollection {Muk88,
	AUTHOR = {Mukai, Shigeru},
	TITLE = {Curves, {$K3$} surfaces and {F}ano {$3$}-folds of genus {$\leq10$}},
	BOOKTITLE = {Algebraic geometry and commutative algebra, {V}ol.\ {I}},
	PAGES = {357--377},
	PUBLISHER = {Kinokuniya, Tokyo},
	YEAR = {1988},
	MRCLASS = {14J10 (14J28 14J30 32G13 32J15 32M10)},
	MRNUMBER = {977768},
	MRREVIEWER = {Peter Nielsen},
}

@incollection {Muk99,
	AUTHOR = {Mukai, Shigeru},
	TITLE = {Duality of polarized {$K3$} surfaces},
	BOOKTITLE = {New trends in algebraic geometry ({W}arwick, 1996)},
	SERIES = {London Math. Soc. Lecture Note Ser.},
	VOLUME = {264},
	PAGES = {311--326},
	PUBLISHER = {Cambridge Univ. Press, Cambridge},
	YEAR = {1999},
	MRCLASS = {14J28 (14J60 18E30)},
	MRNUMBER = {1714828},
	MRREVIEWER = {I. Dolgachev},
	DOI = {10.1017/CBO9780511721540.012},
	URL = {http://dx.doi.org/10.1017/CBO9780511721540.012},
}

@incollection {Muk87,
	AUTHOR = {Mukai, S.},
	TITLE = {On the moduli space of bundles on {$K3$} surfaces. {I}},
	BOOKTITLE = {Vector bundles on algebraic varieties ({B}ombay, 1984)},
	SERIES = {Tata Inst. Fund. Res. Stud. Math.},
	VOLUME = {11},
	PAGES = {341--413},
	PUBLISHER = {Tata Inst. Fund. Res., Bombay},
	YEAR = {1987},
	MRCLASS = {14J28 (14D22 14F05)},
	MRNUMBER = {893604},
	MRREVIEWER = {Mei Chu Chang},
}

@article {Ogu02,
	AUTHOR = {Oguiso, Keiji},
	TITLE = {K3 surfaces via almost-primes},
	JOURNAL = {Math. Res. Lett.},
	FJOURNAL = {Mathematical Research Letters},
	VOLUME = {9},
	YEAR = {2002},
	NUMBER = {1},
	PAGES = {47--63},
	ISSN = {1073-2780},
	MRCLASS = {14J28 (11N32 18E30)},
	MRNUMBER = {1892313},
	MRREVIEWER = {Bal{\'a}zs Szendr{\H{o}}i},
	DOI = {10.4310/MRL.2002.v9.n1.a4},
	URL = {http://dx.doi.org/10.4310/MRL.2002.v9.n1.a4},
}

@article {Orl97,
	AUTHOR = {Orlov, D. O.},
	TITLE = {Equivalences of derived categories and {$K3$} surfaces},
	NOTE = {Algebraic geometry, 7},
	JOURNAL = {J. Math. Sci. (New York)},
	FJOURNAL = {Journal of Mathematical Sciences (New York)},
	VOLUME = {84},
	YEAR = {1997},
	NUMBER = {5},
	PAGES = {1361--1381},
	ISSN = {1072-3374},
	CODEN = {JMTSEW},
	MRCLASS = {14J28 (14F05 18E30)},
	MRNUMBER = {1465519},
	MRREVIEWER = {Jong Hae Keum},
	DOI = {10.1007/BF02399195},
	URL = {http://dx.doi.org/10.1007/BF02399195},
}

@incollection {SS10,
	AUTHOR = {Sch{\"u}tt, Matthias and Shioda, Tetsuji},
	TITLE = {Elliptic surfaces},
	BOOKTITLE = {Algebraic geometry in {E}ast {A}sia---{S}eoul 2008},
	SERIES = {Adv. Stud. Pure Math.},
	VOLUME = {60},
	PAGES = {51--160},
	PUBLISHER = {Math. Soc. Japan, Tokyo},
	YEAR = {2010},
	MRCLASS = {14J27 (11G05 14J20 14J28)},
	MRNUMBER = {2732092},
	MRREVIEWER = {I. Dolgachev},
}

@incollection {Som81,
	AUTHOR = {Sommese, Andrew John},
	TITLE = {Hyperplane sections},
	BOOKTITLE = {Algebraic geometry ({C}hicago, {I}ll., 1980)},
	SERIES = {Lecture Notes in Math.},
	VOLUME = {862},
	PAGES = {232--271},
	PUBLISHER = {Springer, Berlin-New York},
	YEAR = {1981},
	MRCLASS = {14E25 (32C10)},
	MRNUMBER = {644822},
	MRREVIEWER = {S. Ramanan},
}