The Picard group of a K3 surface and its reduction modulo p

[EJ1]
[EJ2]
[EJ3]
[EJ4]
Elsenhans, A.-S. and Jahnel J.: K3 surfaces of Picard rank one and
degree two, in: Algorithmic Number Theory (ANTS 8), Springer,
Berlin 2008, 212–225
Elsenhans, A.-S. and Jahnel J.: K3 surfaces of Picard rank one which
are double covers of the projective plane, in: The Higher-dimensional
geometry over finite fields, IOS Press, Amsterdam 2008, 63–77
Elsenhans, A.-S. and Jahnel J.: On the computation of the Picard group
for K3 surfaces, Preprint
Elsenhans, A.-S. and Jahnel J.: On Weil polynomials of K3 surfaces,
Preprint
[EGA III] Grothendieck, A. and Dieudonné, J.: Étude cohomologique des faisceaux
cohérents (EGA III), Publ. Math. IHES 11 (1961),17 (1963)
[FGA232] Grothendieck, A.: Technique de descente et théorèmes d’existence en
géométrie algébrique, V. Les schémas de Picard: théorèmes d’existence,
Séminaire Bourbaki 7, Exp. 232 (1961-62), 143–161
[FGA236] Grothendieck, A.: Technique de descente et théorèmes d’existence en
géométrie algébrique, VI. Les schémas de Picard: propriétés générales,
Séminaire Bourbaki 7, Exp. 236 (1961-62), 221–243
[Ha] Hartshorne, R.: Algebraic Geometry, Graduate Texts in Mathematics 52,
Springer, New York 1977
[Kl]
[vL]
[Na]
[We]
[ZS]
Kleiman, Steven L.: The Picard scheme, in: Fundamental algebraic geometry,
Math. Surveys Monogr. 123, AMS, Providence 2005, 235–321
van Luijk, R.: K3 surfaces with Picard number one and infinitely many
rational points, Algebra & Number Theory 1 (2007), 1–15
Narkiewicz, W.: Elementary and analytic theory of algebraic numbers,
Monografie Matematyczne 57, PWN—Polish Scientific Publishers, Warsaw
1974
Werner, A.: Compactification of the Bruhat-Tits building of PGL by
lattices of smaller rank, Documenta Math. 6 (2001), 315–342
Zariski, O. and Samuel, P.: Commutative algebra, Vol. I., Van Nostrand,
Princeton 1958
12