2 00 7 Local structure of the moduli space of K 3 surfaces over finite characteristic ∗ † Jeng -
نویسنده
چکیده
Let k be a perfect field of characteristic p ≥ 3. Let X be a non-supersingular K3 surface over k, and Ψ the enlarged formal Brauer group associated to X . We consider the deformation space of X . In this note, we show that the local moduli space M◦◦ of X with trivial associated deformation of Ψ admits a natural p-divisible formal group structure.
منابع مشابه
Formal Brauer groups and the moduli of abelian surfaces
Let X be an algebraic surface over an algebraically closed field k of characteristic p > 0. We denote by ΦX the formal Brauer group of X and by h = h(ΦX) the height of ΦX . In a previous paper, [6], we examined the structure of the stratification given by the height h in the moduli space of K3 surfaces, and we determined the cohomology class of each stratum. In this paper, we apply the methods ...
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تاریخ انتشار 2007