English

The supersingular loci and mass formulas on Siegel modular varieties

Number Theory 2007-05-23 v2

Abstract

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 \calAg,1,N\calA_{g,1,N} for arbitrary gg.

Keywords

Cite

@article{arxiv.math/0608458,
  title  = {The supersingular loci and mass formulas on Siegel modular varieties},
  author = {Chia-Fu Yu},
  journal= {arXiv preprint arXiv:math/0608458},
  year   = {2007}
}

Comments

Revised version, 18 pages