Formal Brauer groups and the moduli of abelian surfaces

Mathematics – Algebraic Geometry

Scientific paper

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Latex, 27 pages, minor correction in section 9

Scientific paper

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.

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