### The supersingular loci and mass formulas on Siegel modular varieties.

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Back to Simple Search
# Advanced Search

Let ${O}_{\mathbf{F}}$ be the ring of integers of a totally real field $\mathbf{F}$ of degree $g$. We study the reduction of the moduli space of separably polarized abelian ${O}_{\mathbf{F}}$-varieties of dimension $g$ modulo $p$ for a fixed prime $p$. The invariants and related conditions for the objects in the moduli space are discussed. We construct a scheme-theoretic stratification by $a$-types on the Rapoport locus and study the relation with the slope stratification. In particular, we recover the main results of Goren and Oort [J. Alg. Geom.,...

**Page 1**