English

Sturm's operator for scalar weight in arbitrary genus

Number Theory 2016-09-19 v1

Abstract

In contrast to the wellknown cases of large weights, Sturm's operator does not realize the holomorphic projection operator for lower weights. We prove its failure for arbitrary Siegel genus m2m\geq 2 and scalar weight κ=m+1\kappa=m+1. This generalizes a result for genus two in [4].

Cite

@article{arxiv.1609.05000,
  title  = {Sturm's operator for scalar weight in arbitrary genus},
  author = {Kathrin Maurischat},
  journal= {arXiv preprint arXiv:1609.05000},
  year   = {2016}
}
R2 v1 2026-06-22T15:51:48.480Z