@article {AV,
    AUTHOR = {Abramovich, Dan and Vistoli, Angelo},
     TITLE = {Compactifying the space of stable maps},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {15},
      YEAR = {2002},
    NUMBER = {1},
     PAGES = {27--75 (electronic)},
      ISSN = {0894-0347},
   MRCLASS = {14H10 (14A20 14D20 14N35)},
  MRNUMBER = {MR1862797 (2002i:14030)},
MRREVIEWER = {Tyler J. Jarvis},
}

@article {Art,
    AUTHOR = {Artin, M.},
     TITLE = {Supersingular {$K3$} surfaces},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
              Quatri\`eme S\'erie},
    VOLUME = {7},
      YEAR = {1974},
     PAGES = {543--567 (1975)},
      ISSN = {0012-9593},
   MRCLASS = {14J25 (14G15)},
  MRNUMBER = {MR0371899 (51 \#8116)},
MRREVIEWER = {J. S. Milne},
}



@article {Be,
    AUTHOR = {Behrend, K.},
     TITLE = {Gromov-{W}itten invariants in algebraic geometry},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {127},
      YEAR = {1997},
    NUMBER = {3},
     PAGES = {601--617},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {14D20 (14C25 14D22)},
  MRNUMBER = {MR1431140 (98i:14015)},
MRREVIEWER = {Barbara Fantechi},
}

@article {Bloch,
    AUTHOR = {Bloch, Spencer},
     TITLE = {Semi-regularity and de{R}ham cohomology},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {17},
      YEAR = {1972},
     PAGES = {51--66},
      ISSN = {0020-9910},
   MRCLASS = {14C05 (14C30)},
  MRNUMBER = {MR0325613 (48 \#3960)},
MRREVIEWER = {Allen B. Altman},
}


@article {bt-k3,
    AUTHOR = {Bogomolov, F. and Tschinkel, Yuri},
     TITLE = {Rational curves and points on {$K3$} surfaces},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {127},
      YEAR = {2005},
    NUMBER = {4},
     PAGES = {825--835},
      ISSN = {0002-9327},
     CODEN = {AJMAAN},
   MRCLASS = {14G05 (11G35 14J28)},
  MRNUMBER = {MR2154371 (2006e:14024)},
MRREVIEWER = {Constantin D. Manoil},
}

@article {bt,
    AUTHOR = {Bogomolov, F. and Tschinkel, Yuri},
     TITLE = {Density of rational points on elliptic {$K3$} surfaces},
   JOURNAL = {Asian J. Math.},
  FJOURNAL = {The Asian Journal of Mathematics},
    VOLUME = {4},
      YEAR = {2000},
    NUMBER = {2},
     PAGES = {351--368},
      ISSN = {1093-6106},
   MRCLASS = {14G05 (11G05 11G35 14C22 14J10 14J28)},
  MRNUMBER = {MR1797587 (2002b:14025)},
MRREVIEWER = {Matthew H. Baker},
}

@article {BZ,
   AUTHOR = {Bogomolov, F. and Zarhin, Yu.},
    TITLE = {Ordinary reduction of {K}3 surfaces},
   JOURNAL = {Cent. Eur. J. Math.},
  FJOURNAL = {Central European Journal of Mathematics},
   VOLUME = {7},
   NUMBER = {2},
   ISSN = {1895-1074},
   PAGES  = {206--213},
    YEAR = {2009},
}
	

@article {XiChen,
    AUTHOR = {Chen, Xi},
     TITLE = {Rational curves on {$K3$} surfaces},
   JOURNAL = {J. Algebraic Geom.},
  FJOURNAL = {Journal of Algebraic Geometry},
    VOLUME = {8},
      YEAR = {1999},
    NUMBER = {2},
     PAGES = {245--278},
      ISSN = {1056-3911},
   MRCLASS = {14N10 (14J28)},
  MRNUMBER = {MR1675158 (2000d:14057)},
MRREVIEWER = {Dag E. Sommervoll},
}

@incollection {mori-mukai,
   AUTHOR = {Mori, Shigefumi and Mukai, Shigeru},
     TITLE = {The uniruledness of the moduli space of curves of genus
              {$11$}},
 BOOKTITLE = {Algebraic geometry ({T}okyo/{K}yoto, 1982)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1016},
     PAGES = {334--353},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      YEAR = {1983},
   MRCLASS = {14H10 (14D20 14J28)},
  MRNUMBER = {MR726433 (85b:14033)},
MRREVIEWER = {Allen Tannenbaum},
}


@incollection {Del,
    AUTHOR = {Deligne, P.},
     TITLE = {Rel\`evement des surfaces {$K3$} en caract\'eristique nulle},
 BOOKTITLE = {Algebraic surfaces ({O}rsay, 1976--78)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {868},
     PAGES = {58--79},
      NOTE = {Prepared for publication by Luc Illusie},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      YEAR = {1981},
   MRCLASS = {14J20 (14J25)},
  MRNUMBER = {MR638598 (83j:14034)},
MRREVIEWER = {Jayant M. Shah},
}

@article {DelWeilK3,
    AUTHOR = {Deligne, Pierre},
     TITLE = {La conjecture de {W}eil pour les surfaces {$K3$}},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {15},
      YEAR = {1972},
     PAGES = {206--226},
      ISSN = {0020-9910},
   MRCLASS = {14G13},
  MRNUMBER = {MR0296076 (45 \#5137)},
MRREVIEWER = {M. Fried},
}

@incollection {Ellenberg,
    AUTHOR = {Ellenberg, Jordan S.},
     TITLE = {{$K3$} surfaces over number fields with geometric {P}icard
              number one},
 BOOKTITLE = {Arithmetic of higher-dimensional algebraic varieties ({P}alo
              {A}lto, {CA}, 2002)},
    SERIES = {Progr. Math.},
    VOLUME = {226},
     PAGES = {135--140},
 PUBLISHER = {Birkh\"auser Boston},
   ADDRESS = {Boston, MA},
      YEAR = {2004},
   MRCLASS = {11G35 (14G25 14J28)},
  MRNUMBER = {MR2029866 (2004j:11062)},
MRREVIEWER = {Yuri Tschinkel},
}

@incollection {EJ,
     AUTHOR = {Elsenhans, A.-S. and Jahnel, J.},
      TITLE = {{K}3 surfaces of {P}icard rank one which are double covers of
		the projective plane},
  BOOKTITLE = {Higher-{D}imensional {G}eometry over {F}inite {F}ields},
      PAGES = {63--77},
       YEAR = {2008},
  PUBLISHER = {IOS Press},
  ADDRESS   = {Amsterdam},
}


@misc {EJ2,
     AUTHOR = {Elsenhans, A.-S. and Jahnel, J.},
      TITLE = {The {P}icard group of a {K}3 surface and its reduction modulo $p$},
      YEAR  = {2010},
      NOTE  = {arXiv:1006.1972},
}
	

@article {GHS,
    AUTHOR = {Graber, Tom and Harris, Joe and Starr, Jason},
     TITLE = {Families of rationally connected varieties},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {16},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {57--67 (electronic)},
      ISSN = {0894-0347},
   MRCLASS = {14M20 (14D05 14D22)},
  MRNUMBER = {MR1937199 (2003m:14081)},
MRREVIEWER = {Alexandr V. Pukhlikov},
}


@incollection {Ha,
    AUTHOR = {Hassett, Brendan},
     TITLE = {Potential density of rational points on algebraic varieties},
 BOOKTITLE = {Higher dimensional varieties and rational points ({B}udapest,
              2001)},
    SERIES = {Bolyai Soc. Math. Stud.},
    VOLUME = {12},
     PAGES = {223--282},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      YEAR = {2003},
   MRCLASS = {14G05 (11G35 14G25)},
  MRNUMBER = {MR2011748 (2004j:14021)},
MRREVIEWER = {Robin de Jong},
}



@book {IllCot,
    AUTHOR = {Illusie, Luc},
     TITLE = {Complexe cotangent et d\'eformations. {I}},
    SERIES = {Lecture Notes in Mathematics, Vol. 239},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1971},
     PAGES = {xv+355},
   MRCLASS = {14B10 (14D15 14F20 55D20)},
  MRNUMBER = {MR0491680 (58 \#10886a)},
MRREVIEWER = {Larry Breen},
}

@incollection {Ill,
    AUTHOR = {Illusie, Luc},
     TITLE = {Grothendieck's existence theorem in formal geometry},
 BOOKTITLE = {Fundamental algebraic geometry},
    SERIES = {Math. Surveys Monogr.},
    VOLUME = {123},
     PAGES = {179--233},
      NOTE = {With a letter (in French) of Jean-Pierre Serre},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {2005},
   MRCLASS = {14A15 (14B99 14F43)},
  MRNUMBER = {MR2223409},
}

	
@misc {JR,
    AUTHOR = {Joshi, K. and Rajan, C.S.},
    TITLE = {Frobenius splitting and ordinarity},
    NOTE = {arXiv:math/0110070v1 (but not in the published version)},
    YEAR = {2001},
}


@book {Kol,
    AUTHOR = {Koll{\'a}r, J{\'a}nos},
     TITLE = {Rational curves on algebraic varieties},
    SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A
              Series of Modern Surveys in Mathematics},
    VOLUME = {32},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1996},
     PAGES = {viii+320},
      ISBN = {3-540-60168-6},
   MRCLASS = {14-02 (14C05 14E05 14F17 14J45)},
  MRNUMBER = {MR1440180 (98c:14001)},
MRREVIEWER = {Yuri G. Prokhorov},
}


@article {LN,
    AUTHOR = {Lang, William E. and Nygaard, Niels O.},
     TITLE = {A short proof of the {R}udakov-\v {S}afarevi\v c theorem},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {251},
      YEAR = {1980},
    NUMBER = {2},
     PAGES = {171--173},
      ISSN = {0025-5831},
     CODEN = {MAANA3},
   MRCLASS = {14J25},
  MRNUMBER = {MR585962 (81i:14024)},
MRREVIEWER = {G. Horrocks},
}

@misc {MP,
   AUTHOR = {Maulik, Davesh and Poonen, Bjorn},
    TITLE = {N\'eron-{S}everi groups under specialization},
     NOTE = {arXiv:math/0907.4781v3},
     YEAR = {2009},
}
    

@incollection {MumFAV,
    AUTHOR = {Mumford, David},
     TITLE = {Families of abelian varieties},
 BOOKTITLE = {Algebraic {G}roups and {D}iscontinuous {S}ubgroups ({P}roc.
              {S}ympos. {P}ure {M}ath., {B}oulder, {C}olo., 1965)},
     PAGES = {347--351},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, R.I.},
      YEAR = {1966},
   MRCLASS = {14.51},
  MRNUMBER = {MR0206003 (34 \#5828)},
MRREVIEWER = {J. W. S. Cassels},
}

@article {MumShi,
    AUTHOR = {Mumford, D.},
     TITLE = {A note of {S}himura's paper ``{D}iscontinuous groups and
              abelian varieties''},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {181},
      YEAR = {1969},
     PAGES = {345--351},
      ISSN = {0025-5831},
   MRCLASS = {14.55},
  MRNUMBER = {MR0248146 (40 \#1400)},
MRREVIEWER = {T. Kambayashi},
}



@inproceedings {Nik,
    AUTHOR = {Nikulin, V. V.},
     TITLE = {Discrete reflection groups in {L}obachevsky spaces and
              algebraic surfaces},
 BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of
              {M}athematicians, {V}ol. 1, 2 ({B}erkeley, {C}alif., 1986)},
     PAGES = {654--671},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {1987},
   MRCLASS = {11E99 (11F06 14J28 20H15 22E40)},
  MRNUMBER = {MR934268 (89d:11032)},
MRREVIEWER = {Shigeyuki Kondo},
}
	



@article {Ny,
    AUTHOR = {Nygaard, Niels O.},
     TITLE = {A {$p$}-adic proof of the nonexistence of vector fields on
              {$K3$}\ surfaces},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {110},
      YEAR = {1979},
    NUMBER = {3},
     PAGES = {515--528},
      ISSN = {0003-486X},
     CODEN = {ANMAAH},
   MRCLASS = {14J25 (14F30)},
  MRNUMBER = {MR554382 (80m:14024)},
MRREVIEWER = {Gerhard Pfister},
}

@article {NyTate,
    AUTHOR = {Nygaard, N. O.},
     TITLE = {The {T}ate conjecture for ordinary {$K3$} surfaces over finite
              fields},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {74},
      YEAR = {1983},
    NUMBER = {2},
     PAGES = {213--237},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {14G13 (11G25 14G15 14J28)},
  MRNUMBER = {MR723215 (85h:14012)},
MRREVIEWER = {Yu. G. Zarkhin},
}

@article {NyOg,
    AUTHOR = {Nygaard, Niels and Ogus, Arthur},
     TITLE = {Tate's conjecture for {$K3$} surfaces of finite height},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {122},
      YEAR = {1985},
    NUMBER = {3},
     PAGES = {461--507},
      ISSN = {0003-486X},
     CODEN = {ANMAAH},
   MRCLASS = {14G13 (11G40 14F30 14G15 14J28)},
  MRNUMBER = {MR819555 (87h:14014)},
MRREVIEWER = {G. Horrocks},
}
	
	



@incollection {Ogus,
    AUTHOR = {Ogus, Arthur},
     TITLE = {Supersingular {$K3$} crystals},
 BOOKTITLE = {Journ\'ees de {G}\'eom\'etrie {A}lg\'ebrique de {R}ennes
              ({R}ennes, 1978), {V}ol. {II}},
    SERIES = {Ast\'erisque},
    VOLUME = {64},
     PAGES = {3--86},
 PUBLISHER = {Soc. Math. France},
   ADDRESS = {Paris},
      YEAR = {1979},
   MRCLASS = {14J25 (14B10 14F30)},
  MRNUMBER = {MR563467 (81e:14024)},
MRREVIEWER = {G. Horrocks},
}

@article {Ran,
    AUTHOR = {Ran, Ziv},
     TITLE = {Hodge theory and deformations of maps},
   JOURNAL = {Compositio Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {97},
      YEAR = {1995},
    NUMBER = {3},
     PAGES = {309--328},
      ISSN = {0010-437X},
     CODEN = {CMPMAF},
   MRCLASS = {14D15 (13D10 14C30)},
  MRNUMBER = {MR1353277 (96g:14009)},
MRREVIEWER = {Claire Voisin},
}



@article {RS,
    AUTHOR = {Rudakov, A. N. and Shafarevich, I. R.},
     TITLE = {Vector fields on elliptic surfaces},
   JOURNAL = {Uspekhi Mat. Nauk},
  FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
              Uspekhi Matematicheskikh Nauk},
    VOLUME = {33},
      YEAR = {1978},
    NUMBER = {6(204)},
     PAGES = {231--232},
      ISSN = {0042-1316},
   MRCLASS = {14J25 (14J10)},
  MRNUMBER = {MR526033 (80f:14022)},
MRREVIEWER = {P. E. Newstead},
}

@incollection {RS2,
    AUTHOR = {Rudakov, A. N. and Shafarevich, I. R.},
     TITLE = {Surfaces of type {$K3$} over fields of finite characteristic},
 BOOKTITLE = {Current problems in mathematics, {V}ol. 18},
     PAGES = {115--207},
 PUBLISHER = {Akad. Nauk SSSR},
   ADDRESS = {Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii, Moscow},
      YEAR = {1981},
   MRCLASS = {14J25 (14D15 14J10)},
  MRNUMBER = {MR633161 (83c:14027)},
     NOTE = {translation in Journal of Mathematical Sciences, Volume 22, Number 4,  July, 1983, pages 1476--1533},
MRREVIEWER = {P. E. Newstead},
}

@article {SD,
    AUTHOR = {Saint-Donat, B.},
     TITLE = {Projective models of {$K-3$} surfaces},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {96},
      YEAR = {1974},
     PAGES = {602--639},
      ISSN = {0002-9327},
   MRCLASS = {14J25},
  MRNUMBER = {MR0364263 (51 \#518)},
MRREVIEWER = {G. Horrocks},
}



@book {Sern,
    AUTHOR = {Sernesi, Edoardo},
     TITLE = {Deformations of algebraic schemes},
    SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
              Principles of Mathematical Sciences]},
    VOLUME = {334},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {2006},
     PAGES = {xii+339},
      ISBN = {978-3-540-30608-5; 3-540-30608-0},
   MRCLASS = {14D15 (14B05 14B10 14B12 14B20 14B25 14D20)},
  MRNUMBER = {MR2247603 (2008e:14011)},
MRREVIEWER = {Marko Roczen},
}



@book {ST,
    AUTHOR = {Shimura, Goro and Taniyama, Yutaka},
     TITLE = {Complex multiplication of abelian varieties and its
              applications to number theory},
    SERIES = {Publications of the Mathematical Society of Japan},
    VOLUME = {6},
 PUBLISHER = {The Mathematical Society of Japan, Tokyo},
      YEAR = {1961},
     PAGES = {xi+159},
   MRCLASS = {14.40 (10.68)},
  MRNUMBER = {MR0125113 (23 \#A2419)},
MRREVIEWER = {I. Barsotti},
}



		

@article {tankeev,
    AUTHOR = {Tankeev, S. G.},
     TITLE = {Surfaces of {$K3$} type over number fields and the
              {M}umford-{T}ate conjecture. {II}},
   JOURNAL = {Izv. Ross. Akad. Nauk Ser. Mat.},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Izvestiya. Seriya
              Matematicheskaya},
    VOLUME = {59},
      YEAR = {1995},
    NUMBER = {3},
     PAGES = {179--206},
      ISSN = {0373-2436},
   MRCLASS = {11G35 (14J20 14J28)},
  MRNUMBER = {MR1347082 (97d:11104)},
MRREVIEWER = {Takeshi Ooe},
}

@article {Tankeev4,
    AUTHOR = {Tankeev, S. G.},
     TITLE = {On the weights of an {$l$}-adic representation and the
              arithmetic of {F}robenius eigenvalues},
   JOURNAL = {Izv. Ross. Akad. Nauk Ser. Mat.},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Izvestiya. Seriya
              Matematicheskaya},
    VOLUME = {63},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {185--224},
      ISSN = {0373-2436},
   MRCLASS = {11G10 (14K15)},
  MRNUMBER = {MR1701843 (2000f:11072)},
    NOTE   = {translation in
		Izv. Math. 63 (1999), no. 1, 181--218 },
MRREVIEWER = {Ivica Gusi{\'c}},
}


@book {serre,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {{\OE}uvres. {C}ollected papers. {IV}},
      NOTE = {1985--1998},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {2000},
     PAGES = {viii+657},
      ISBN = {3-540-65683-9},
   MRCLASS = {01A75 (11-03 12-03 14-03 22E50)},
  MRNUMBER = {MR1730973 (2001e:01037)},
MRREVIEWER = {Alexey A. Panchishkin},
}
	

@inproceedings {Vin,
    AUTHOR = {Vinberg, {\`E}. B.},
     TITLE = {Discrete reflection groups in {L}obachevsky spaces},
 BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of
              {M}athematicians, {V}ol.\ 1, 2 ({W}arsaw, 1983)},
     PAGES = {593--601},
 PUBLISHER = {PWN},
   ADDRESS = {Warsaw},
      YEAR = {1984},
   MRCLASS = {22E40 (20H15 51F15)},
  MRNUMBER = {MR804716 (87h:22016)},
MRREVIEWER = {Gopal Prasad},
}

@incollection {Voisin,
    AUTHOR = {Voisin, Claire},
     TITLE = {Sur la stabilit\'e des sous-vari\'et\'es lagrangiennes des
              vari\'et\'es symplectiques holomorphes},
 BOOKTITLE = {Complex projective geometry ({T}rieste, 1989/{B}ergen, 1989)},
    SERIES = {London Math. Soc. Lecture Note Ser.},
    VOLUME = {179},
     PAGES = {294--303},
 PUBLISHER = {Cambridge Univ. Press},
   ADDRESS = {Cambridge},
      YEAR = {1992},
   MRCLASS = {32G10 (32G13 32J27 58F05)},
  MRNUMBER = {MR1201391 (94b:32029)},
MRREVIEWER = {Olivier Debarre},
}