Mathematics – Number Theory
Scientific paper
2006-08-18
Mathematics
Number Theory
Revised version, 18 pages
Scientific paper
We describe the supersingular locus of the Siegel 3-fold with a parahoric
level structure. We also study its higher dimensional generalization. Using
this correspondence and a deep result of Li and Oort, we evaluate the number of
irreducible components of the supersingular locus of the Siegel moduli space
$\calA_{g,1,N}$ for arbitrary $g$.
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