Geodesic
The supersingular loci and mass formulas on Siegel modular varieties
Documenta mathematica, Tome 11 (2006), pp. 449-468.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $g$.
Classification : 11G18, 14K12
Keywords: Siegel modular varieties, supersingular locus, superspecial locus, parahoric level structure, mass formula 
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     author = {Yu, Chia-Fu},
     title = {The supersingular loci and mass formulas on {Siegel} modular varieties},
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     year = {2006},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2006__11__a1/}
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Yu, Chia-Fu. The supersingular loci and mass formulas on Siegel modular varieties. Documenta mathematica, Tome 11 (2006), pp. 449-468. http://geodesic.mathdoc.fr/item/DOCMA_2006__11__a1/