All Siegel Hecke eigensystems (mod p) are cuspidal

Details All Siegel Hecke eigensystems (mod p) are cuspidal All Siegel Hecke eigensystems (mod p) are cuspidal

2005-11-30

arxiv.org/abs/math/0511728v2

Mathematics

Number Theory

11 pages; corrected and shortened according to referee's suggestions; to appear in Mathematical Research Letters

Scientific paper

We show that the systems of Hecke eigenvalues occurring in the spaces of Siegel modular forms (mod p) of fixed dimension g, fixed level N, and varying weight, are the same as the systems occurring in the spaces of Siegel cusp forms with the same parameters and varying weight. In particular, in the case g=1, this says that the Hecke eigensystems (mod p) coming from classical modular forms are the same as those coming from cusp forms. The proof uses restriction to the superspecial locus. We also give a comparison of cusp forms on the Satake compactification versus the toroidal compactifications of Siegel modular varieties.

Affiliated with

Also associated with

No associations

Rating

All Siegel Hecke eigensystems (mod p) are cuspidal does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with All Siegel Hecke eigensystems (mod p) are cuspidal, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and All Siegel Hecke eigensystems (mod p) are cuspidal will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-430063