Geodesic
The supersingular loci and mass formulas on Siegel modular varieties
Documenta mathematica, Tome 11 (2006), pp. 449-468
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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 Ag,1,N​ for arbitrary g.
DOI : 10.4171/dm/218
Classification : 11G18, 14K12
Mots-clés : Siegel modular varieties, supersingular locus, superspecial locus, parahoric level structure, mass formula 
@article{10_4171_dm_218,
     author = {Chia-Fu Yu},
     title = {The supersingular loci and mass formulas on {Siegel} modular varieties},
     journal = {Documenta mathematica},
     pages = {449--468},
     year = {2006},
     volume = {11},
     doi = {10.4171/dm/218},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/218/}
}
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Chia-Fu Yu. The supersingular loci and mass formulas on Siegel modular varieties. Documenta mathematica, Tome 11 (2006), pp. 449-468. doi: 10.4171/dm/218

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