\providecommand{\bysame}{\leavevmode ---\ }
\providecommand{\og}{``}
\providecommand{\fg}{''}
\providecommand{\smfandname}{\&}
\providecommand{\smfedsname}{\'eds.}
\providecommand{\smfedname}{\'ed.}
\providecommand{\smfmastersthesisname}{M\'emoire}
\providecommand{\smfphdthesisname}{Th\`ese}
\begin{thebibliography}{10}

\bibitem{AV}
{\scshape D.~Abramovich {\normalfont \smfandname} A.~Vistoli} -- {\og
  Compactifying the space of stable maps\fg}, \emph{J. Amer. Math. Soc.}
  \textbf{15} (2002), no.~1, p.~27--75 (electronic).

\bibitem{Art}
{\scshape M.~Artin} -- {\og Supersingular {$K3$} surfaces\fg}, \emph{Ann. Sci.
  \'Ecole Norm. Sup. (4)} \textbf{7} (1974), p.~543--567 (1975).

\bibitem{Bloch}
{\scshape S.~Bloch} -- {\og Semi-regularity and de{R}ham cohomology\fg},
  \emph{Invent. Math.} \textbf{17} (1972), p.~51--66.

\bibitem{bt}
{\scshape F.~Bogomolov {\normalfont \smfandname} Y.~Tschinkel} -- {\og Density
  of rational points on elliptic {$K3$} surfaces\fg}, \emph{Asian J. Math.}
  \textbf{4} (2000), no.~2, p.~351--368.

\bibitem{bt-k3}
\bysame , {\og Rational curves and points on {$K3$} surfaces\fg}, \emph{Amer.
  J. Math.} \textbf{127} (2005), no.~4, p.~825--835.

\bibitem{BZ}
{\scshape F.~Bogomolov {\normalfont \smfandname} Y.~Zarhin} -- {\og Ordinary
  reduction of {K}3 surfaces\fg}, \emph{Cent. Eur. J. Math.} \textbf{7} (2009),
  no.~2, p.~206--213.

\bibitem{XiChen}
{\scshape X.~Chen} -- {\og Rational curves on {$K3$} surfaces\fg}, \emph{J.
  Algebraic Geom.} \textbf{8} (1999), no.~2, p.~245--278.

\bibitem{Del}
{\scshape P.~Deligne} -- {\og Rel\`evement des surfaces {$K3$} en
  caract\'eristique nulle\fg}, in \emph{Algebraic surfaces ({O}rsay,
  1976--78)}, Lecture Notes in Math., vol. 868, Springer, Berlin, 1981,
  Prepared for publication by Luc Illusie, p.~58--79.

\bibitem{DelWeilK3}
{\scshape P.~Deligne} -- {\og La conjecture de {W}eil pour les surfaces
  {$K3$}\fg}, \emph{Invent. Math.} \textbf{15} (1972), p.~206--226.

\bibitem{Ellenberg}
{\scshape J.~S. Ellenberg} -- {\og {$K3$} surfaces over number fields with
  geometric {P}icard number one\fg}, in \emph{Arithmetic of higher-dimensional
  algebraic varieties ({P}alo {A}lto, {CA}, 2002)}, Progr. Math., vol. 226,
  Birkh\"auser Boston, Boston, MA, 2004, p.~135--140.

\bibitem{EJ}
{\scshape A.-S. Elsenhans {\normalfont \smfandname} J.~Jahnel} -- {\og {K}3
  surfaces of {P}icard rank one which are double covers of the projective
  plane\fg}, in \emph{Higher-{D}imensional {G}eometry over {F}inite {F}ields},
  IOS Press, Amsterdam, 2008, p.~63--77.

\bibitem{EJ2}
\bysame , {\og The {P}icard group of a {K}3 surface and its reduction modulo
  $p$\fg}, 2010, arXiv:1006.1972.

\bibitem{GHS}
{\scshape T.~Graber, J.~Harris {\normalfont \smfandname} J.~Starr} -- {\og
  Families of rationally connected varieties\fg}, \emph{J. Amer. Math. Soc.}
  \textbf{16} (2003), no.~1, p.~57--67 (electronic).

\bibitem{Ha}
{\scshape B.~Hassett} -- {\og Potential density of rational points on algebraic
  varieties\fg}, in \emph{Higher dimensional varieties and rational points
  ({B}udapest, 2001)}, Bolyai Soc. Math. Stud., vol.~12, Springer, Berlin,
  2003, p.~223--282.

\bibitem{JR}
{\scshape K.~Joshi {\normalfont \smfandname} C.~Rajan} -- {\og Frobenius
  splitting and ordinarity\fg}, 2001, arXiv:math/0110070v1 (but not in the
  published version).

\bibitem{Kol}
{\scshape J.~Koll{\'a}r} -- \emph{Rational curves on algebraic varieties},
  Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of
  Modern Surveys in Mathematics, vol.~32, Springer-Verlag, Berlin, 1996.

\bibitem{MP}
{\scshape D.~Maulik {\normalfont \smfandname} B.~Poonen} -- {\og
  N\'eron-{S}everi groups under specialization\fg}, 2009,
  arXiv:math/0907.4781v3.

\bibitem{mori-mukai}
{\scshape S.~Mori {\normalfont \smfandname} S.~Mukai} -- {\og The uniruledness
  of the moduli space of curves of genus {$11$}\fg}, in \emph{Algebraic
  geometry ({T}okyo/{K}yoto, 1982)}, Lecture Notes in Math., vol. 1016,
  Springer, Berlin, 1983, p.~334--353.

\bibitem{Nik}
{\scshape V.~V. Nikulin} -- {\og Discrete reflection groups in {L}obachevsky
  spaces and algebraic surfaces\fg}, in \emph{Proceedings of the
  {I}nternational {C}ongress of {M}athematicians, {V}ol. 1, 2 ({B}erkeley,
  {C}alif., 1986)} (Providence, RI), Amer. Math. Soc., 1987, p.~654--671.

\bibitem{NyTate}
{\scshape N.~O. Nygaard} -- {\og The {T}ate conjecture for ordinary {$K3$}
  surfaces over finite fields\fg}, \emph{Invent. Math.} \textbf{74} (1983),
  no.~2, p.~213--237.

\bibitem{NyOg}
{\scshape N.~Nygaard {\normalfont \smfandname} A.~Ogus} -- {\og Tate's
  conjecture for {$K3$} surfaces of finite height\fg}, \emph{Ann. of Math. (2)}
  \textbf{122} (1985), no.~3, p.~461--507.

\bibitem{Ogus}
{\scshape A.~Ogus} -- {\og Supersingular {$K3$} crystals\fg}, in
  \emph{Journ\'ees de {G}\'eom\'etrie {A}lg\'ebrique de {R}ennes ({R}ennes,
  1978), {V}ol. {II}}, Ast\'erisque, vol.~64, Soc. Math. France, Paris, 1979,
  p.~3--86.

\bibitem{Ran}
{\scshape Z.~Ran} -- {\og Hodge theory and deformations of maps\fg},
  \emph{Compositio Math.} \textbf{97} (1995), no.~3, p.~309--328.

\bibitem{RS2}
{\scshape A.~N. Rudakov {\normalfont \smfandname} I.~R. Shafarevich} -- {\og
  Surfaces of type {$K3$} over fields of finite characteristic\fg}, in
  \emph{Current problems in mathematics, {V}ol. 18}, Akad. Nauk SSSR, Vsesoyuz.
  Inst. Nauchn. i Tekhn. Informatsii, Moscow, 1981, translation in Journal of
  Mathematical Sciences, Volume 22, Number 4, July, 1983, pages 1476--1533,
  p.~115--207.

\bibitem{SD}
{\scshape B.~Saint-Donat} -- {\og Projective models of {$K-3$} surfaces\fg},
  \emph{Amer. J. Math.} \textbf{96} (1974), p.~602--639.

\bibitem{Sern}
{\scshape E.~Sernesi} -- \emph{Deformations of algebraic schemes}, Grundlehren
  der Mathematischen Wissenschaften [Fundamental Principles of Mathematical
  Sciences], vol. 334, Springer-Verlag, Berlin, 2006.

\bibitem{Tankeev4}
{\scshape S.~G. Tankeev} -- {\og On the weights of an {$l$}-adic representation
  and the arithmetic of {F}robenius eigenvalues\fg}, \emph{Izv. Ross. Akad.
  Nauk Ser. Mat.} \textbf{63} (1999), no.~1, p.~185--224, translation in Izv.
  Math. 63 (1999), no. 1, 181--218.

\bibitem{Vin}
{\scshape {\`E}.~B. Vinberg} -- {\og Discrete reflection groups in
  {L}obachevsky spaces\fg}, in \emph{Proceedings of the {I}nternational
  {C}ongress of {M}athematicians, {V}ol.\ 1, 2 ({W}arsaw, 1983)} (Warsaw), PWN,
  1984, p.~593--601.

\bibitem{Voisin}
{\scshape C.~Voisin} -- {\og Sur la stabilit\'e des sous-vari\'et\'es
  lagrangiennes des vari\'et\'es symplectiques holomorphes\fg}, in
  \emph{Complex projective geometry ({T}rieste, 1989/{B}ergen, 1989)}, London
  Math. Soc. Lecture Note Ser., vol. 179, Cambridge Univ. Press, Cambridge,
  1992, p.~294--303.

\end{thebibliography}
