Formal Brauer groups and the moduli of abelian surfaces

G. van der Geer; T. Katsura

Formal Brauer groups and the moduli of abelian surfaces

Algebraic Geometry 2007-05-23 v2

Authors: G. van der Geer , T. Katsura

Abstract

In this paper we consider the stratification on the moduli space of principally polarized abelian surfaces in characteristic $p>0$ defined by the height of the formal group associated to $H^2(X,O_X)$ . We compute the cycle classes of the strata and compare these with those of the $p$ -rank stratification.

Keywords

formal Brauer group abelian surfaces moduli space p-rank stratification Hodge class

Cite

@article{arxiv.math/9912169,
  title  = {Formal Brauer groups and the moduli of abelian surfaces},
  author = {G. van der Geer and T. Katsura},
  journal= {arXiv preprint arXiv:math/9912169},
  year   = {2007}
}

Comments

Latex, 27 pages, minor correction in section 9

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