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

\bibitem{anderson}
{\scshape G.~W. Anderson {\normalfont \smfandname} R.~Indik} -- {\og On primes
  of degree one in function fields\fg}, \emph{Proc. Amer. Math. Soc.}
  \textbf{94} (1985), no.~1, p.~31--32.

\bibitem{kollar}
{\scshape C.~Araujo {\normalfont \smfandname} J.~Koll{\'a}r} -- {\og Rational
  curves on varieties\fg}, Higher dimensional varieties and rational points
  (Budapest, 2001), Bolyai Soc. Math. Stud., vol.~12, Springer, Berlin, 2003,
  p.~13--68.

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

\bibitem{beauville}
{\scshape A.~Beauville} -- {\og Counting rational curves on {$K3$}
  surfaces\fg}, \emph{Duke Math. J.} \textbf{97} (1999), no.~1, p.~99--108.

\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{bryan}
{\scshape J.~Bryan {\normalfont \smfandname} N.~C. Leung} -- {\og The
  enumerative geometry of {$K3$} surfaces and modular forms\fg}, \emph{J. Amer.
  Math. Soc.} \textbf{13} (2000), no.~2, p.~371--410.

\bibitem{chen}
{\scshape X.~Chen} -- {\og A simple proof that rational curves on {$K3$} are
  nodal\fg}, \emph{Math. Ann.} \textbf{324} (2002), no.~1, p.~71--104.

\bibitem{dolgachev}
{\scshape F.~R. Cossec {\normalfont \smfandname} I.~V. Dolgachev} --
  \emph{Enriques surfaces. {I}}, Progress in Mathematics, vol.~76, Birkh\"auser
  Boston Inc., Boston, MA, 1989.

\bibitem{edix}
{\scshape S.~J. Edixhoven, B.~J.~J. Moonen {\normalfont \smfandname} F.~Oort}
  -- {\og Open problems in algebraic geometry\fg}, \emph{Bull. Sci. Math.}
  \textbf{125} (2001), no.~1, p.~1--22.

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

\bibitem{katsura}
{\scshape T.~Katsura} -- {\og Generalized {K}ummer surfaces and their
  unirationality in characteristic {$p$}\fg}, \emph{J. Fac. Sci. Univ. Tokyo
  Sect. IA Math.} \textbf{34} (1987), no.~1, p.~1--41.

\bibitem{katz}
{\scshape N.~M. Katz} -- {\og Space filling curves over finite fields\fg},
  \emph{Math. Res. Lett.} \textbf{6} (1999), no.~5-6, p.~613--624.

\bibitem{katz1}
\bysame , \emph{Twisted {$L$}-functions and monodromy}, Annals of Mathematics
  Studies, vol. 150, Princeton University Press, Princeton, NJ, 2002.

\bibitem{mumford}
{\scshape D.~Mumford} -- \emph{Abelian varieties}, Tata Institute of
  Fundamental Research Studies in Mathematics, No. 5, Published for the Tata
  Institute of Fundamental Research, Bombay, 1970.

\bibitem{oguiso}
{\scshape K.~Oguiso} -- {\og On the complete classification of {C}alabi-{Y}au
  threefolds of type {${\rm III}\sb 0$}\fg}, Higher-dimensional complex
  varieties (Trento, 1994), de Gruyter, Berlin, 1996, p.~329--339.

\bibitem{oort-dejong}
{\scshape F.~Oort {\normalfont \smfandname} J.~de~Jong} -- {\og Hyperelliptic
  curves in abelian varieties\fg}, \emph{J. Math. Sci.} \textbf{82} (1996),
  no.~1, p.~3211--3219, Algebraic geometry, 5.

\bibitem{pirola}
{\scshape G.~P. Pirola} -- {\og Curves on generic {K}ummer varieties\fg},
  \emph{Duke Math. J.} \textbf{59} (1989), no.~3, p.~701--708.

\bibitem{poonen}
{\scshape B.~Poonen} -- {\og N\'eron-{T}ate projection of algebraic points\fg},
  \emph{Internat. Math. Res. Notices} (2001), no.~9, p.~435--440.

\bibitem{pop}
{\scshape F.~Pop {\normalfont \smfandname} M.~Saidi} -- {\og On the
  specialization homomorphism of fundamental groups of curves in positive
  characteristic\fg}, Galois groups and fundamental groups (L.~Schneps,
  \smfedname), MSRI Publications, vol.~41, Cambridge Univ. Press, 2003,
  p.~107--118.

\bibitem{shaf-rudakov}
{\scshape A.~N. Rudakov {\normalfont \smfandname} I.~R. Shafarevich} -- {\og
  Supersingular {$K3$} surfaces over fields of characteristic {$2$}\fg},
  \emph{Izv. Akad. Nauk SSSR Ser. Mat.} \textbf{42} (1978), no.~4, p.~848--869.

\bibitem{shaf-rudakov1}
\bysame , {\og Surfaces of type {$K3$} over fields of finite
  characteristic\fg}, Current problems in mathematics, Vol. 18, Akad. Nauk
  SSSR, 1981, p.~115--207.

\bibitem{serre}
{\scshape J.-P. Serre} -- \emph{Lectures on the {M}ordell-{W}eil theorem},
  third \smfedname, Aspects of Mathematics, Friedr. Vieweg \& Sohn,
  Braunschweig, 1997.

\bibitem{shioda}
{\scshape T.~Shioda} -- {\og Some results on unirationality of algebraic
  surfaces\fg}, \emph{Math. Ann.} \textbf{230} (1977), no.~2, p.~153--168.

\bibitem{voisin}
{\scshape C.~Voisin} -- {\og Miroirs et involutions sur les surfaces
  {$K3$}\fg}, \emph{Ast\'erisque} (1993), no.~218, p.~273--323, Journ\'ees de
  G\'eom\'etrie Alg\'ebrique d'Orsay (Orsay, 1992).

\bibitem{weil}
{\scshape A.~Weil} -- {\og Zum {B}eweis des {T}orellischen {S}atzes\fg},
  \emph{Nachr. Akad. Wiss. G\"ottingen. Math.-Phys. Kl. IIa.} \textbf{1957}
  (1957), p.~33--53.

\bibitem{yau}
{\scshape S.-T. Yau {\normalfont \smfandname} E.~Zaslow} -- {\og B{PS} states,
  string duality, and nodal curves on {$K3$}\fg}, \emph{Nuclear Phys. B}
  \textbf{471} (1996), no.~3, p.~503--512.

\end{thebibliography}
