Abstract
This chapter discusses the discriminants of the intersection form on Néron–Severi groups. The chapter presents the assumption that S is a nonsingular complete algebraic surface defined over an algebraically closed field k of characteristic p > 0. Then, in case p > 0, the surface S is said to be supersingular if the Picard number p(S) is equal to the second Betti number B2(S). The chapter presents a method calculate the discriminant disc NS(S) of the intersection form on the Néron–Severi group. It also highlights a few known facts of abelian varieties.
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