The supersingular loci and mass formulas on Siegel modular varieties
Chia-Fu YuInstitute of Mathematics Academia Sinica 128 Academia Rd. Sec. 2 Nankang Taipei Taiwan and NCTS (Taipei Office
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 for arbitrary .
Cite this article
Chia-Fu Yu, The supersingular loci and mass formulas on Siegel modular varieties. Doc. Math. 11 (2006), pp. 449–468DOI 10.4171/DM/218