\providecommand{\bysame}{\leavevmode\hbox to3em{\hrulefill}\thinspace}
\begin{thebibliography}{SGA4~III}

\bibitem[BLR90]{neronmodels}
Siegfried Bosch, Werner L{\"u}tkebohmert, and Michel Raynaud, \emph{N\'eron
  models}, Springer-Verlag, Berlin, 1990.

\bibitem[CT03]{ct2003}
Jean-Louis Colliot-Th{\'e}l{\`e}ne, \emph{Points rationnels sur les
  fibrations}, Higher dimensional varieties and rational points, Proceedings of
  the 2001 {B}udapest conference (K.~B\"or\"oczky, J.~Koll\'ar, and
  T.~Szamuely, eds.), Springer-Verlag, 2003, Bolyai Society Colloquium
  Publications.

\bibitem[CTCS80]{ct-coray-sansuc1980}
Jean-Louis Colliot-Th{\'e}l{\`e}ne, Daniel Coray, and Jean-Jacques Sansuc,
  \emph{Descente et principe de {H}asse pour certaines vari\'et\'es
  rationnelles}, J. Reine Angew. Math. \textbf{320} (1980), 150--191.

\bibitem[CTS80]{ct-sansuc1980}
J.-L. Colliot-Th{\'e}l{\`e}ne and J.-J. Sansuc, \emph{La descente sur les
  vari\'et\'es rationnelles}, Journ\'ees de G\'eometrie Alg\'ebrique d'Angers,
  Juillet 1979/Algebraic Geometry, Angers, 1979, Sijthoff \& Noordhoff, Alphen
  aan den Rijn, 1980, pp.~223--237.

\bibitem[CTS82]{ct-sansuc1982}
Jean-Louis Colliot-Th{\'e}l{\`e}ne and Jean-Jacques Sansuc, \emph{Sur le
  principe de {H}asse et l'approximation faible, et sur une hypoth\`ese de
  {S}chinzel}, Acta Arith. \textbf{41} (1982), no.~1, 33--53.

\bibitem[CTS87]{ct-sansuc1987}
Jean-Louis Colliot-Th{\'e}l{\`e}ne and Jean-Jacques Sansuc, \emph{La descente
  sur les vari\'et\'es rationnelles. {II}}, Duke Math. J. \textbf{54} (1987),
  no.~2, 375--492.

\bibitem[CTSD94]{ct-sd1994}
Jean-Louis Colliot-Th{\'e}l{\`e}ne and Peter Swinnerton-Dyer, \emph{Hasse
  principle and weak approximation for pencils of {S}everi-{B}rauer and similar
  varieties}, J. Reine Angew. Math. \textbf{453} (1994), 49--112.

\bibitem[Gro68]{grothendieck-brauer2}
Alexander Grothendieck, \emph{Le groupe de {B}rauer. {II}. {T}h\'eorie
  cohomologique}, Dix Expos\'es sur la Cohomologie des Sch\'emas,
  North-Holland, Amsterdam, 1968, pp.~67--87.

\bibitem[Har70]{hartshorne1970}
Robin Hartshorne, \emph{Ample subvarieties of algebraic varieties}, Notes
  written in collaboration with C. Musili. Lecture Notes in Mathematics, Vol.
  156, Springer-Verlag, Berlin, 1970.

\bibitem[Har77]{hartshorne1977}
Robin Hartshorne, \emph{Algebraic geometry}, Springer-Verlag, New York, 1977,
  Graduate Texts in Mathematics, No. 52.

\bibitem[Kol96]{kollar1996}
J{\'a}nos Koll{\'a}r, \emph{Rational curves on algebraic varieties}, Ergebnisse
  der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys
  in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A
  Series of Modern Surveys in Mathematics], vol.~32, Springer-Verlag, Berlin,
  1996.

\bibitem[LW54]{lang-weil1954}
Serge Lang and Andr{\'e} Weil, \emph{Number of points of varieties in finite
  fields}, Amer. J. Math. \textbf{76} (1954), 819--827.

\bibitem[Poo01]{poonen2001ci}
Bjorn Poonen, \emph{The {H}asse principle for complete intersections in
  projective space}, Rational points on algebraic varieties, Progr. Math., vol.
  199, Birkh\"auser, Basel, 2001, pp.~307--311.

\bibitem[PS99a]{poonen-stoll1999}
Bjorn Poonen and Michael Stoll, \emph{The {C}assels-{T}ate pairing on polarized
  abelian varieties}, Ann. of Math. (2) \textbf{150} (1999), no.~3, 1109--1149.

\bibitem[PS99b]{poonen-stoll1999b}
Bjorn Poonen and Michael Stoll, \emph{A local-global principle for densities},
  Topics in number theory (University Park, PA, 1997), Math. Appl., vol. 467,
  Kluwer Acad. Publ., Dordrecht, 1999, pp.~241--244.

\bibitem[SD93]{swinnertondyer1993}
Peter Swinnerton-Dyer, \emph{The {B}rauer group of cubic surfaces}, Math. Proc.
  Cambridge Philos. Soc. \textbf{113} (1993), no.~3, 449--460.

\bibitem[Seg42]{segre1942}
B.~Segre, \emph{The {N}on-singular {C}ubic {S}urfaces}, Oxford University
  Press, Oxford, 1942.

\bibitem[Ser97]{serremordellweil}
Jean-Pierre Serre, \emph{Lectures on the {M}ordell-{W}eil theorem}, third ed.,
  Friedr. Vieweg \& Sohn, Braunschweig, 1997, Translated from the French and
  edited by Martin Brown from notes by Michel Waldschmidt, With a foreword by
  Brown and Serre.

\bibitem[SGA4~III]{sga4.3}
\emph{Th\'eorie des topos et cohomologie \'etale des sch\'emas. {T}ome 3},
  Springer-Verlag, Berlin, 1973, S\'eminaire de G\'eom\'etrie Alg\'ebrique du
  Bois-Marie 1963--1964 (SGA 4), Dirig\'e par M. Artin, A. Grothendieck et J.
  L. Verdier. Avec la collaboration de P. Deligne et B. Saint-Donat, Lecture
  Notes in Mathematics, Vol. 305.

\bibitem[SW95]{sarnak-wang1995}
Peter Sarnak and Lan Wang, \emph{Some hypersurfaces in {${\bf P}\sp 4$} and the
  {H}asse-principle}, C. R. Acad. Sci. Paris S\'er. I Math. \textbf{321}
  (1995), no.~3, 319--322.

\bibitem[Tod35]{todd1935}
J.~A. Todd, \emph{On the topology of certain threefold loci}, Proc. Edinburgh
  Math. Soc. (2) (1935), no.~4, 175--184.

\end{thebibliography}
