English

Geometric and $p$-adic modular forms of half-integral weight

Number Theory 2009-06-18 v1

Abstract

We introduce a geometric formalism for studying modular forms of half-integral weight and explore some of its basic properties. Geometric Hecke operators are constructed and some basic spaces of pp-adic forms are introduced. The pp-adic theory is greatly expanded in subsequent papers, making that part of this paper largely obsolete.

Keywords

Cite

@article{arxiv.0906.3238,
  title  = {Geometric and $p$-adic modular forms of half-integral weight},
  author = {Nick Ramsey},
  journal= {arXiv preprint arXiv:0906.3238},
  year   = {2009}
}

Comments

22 pages

R2 v1 2026-06-21T13:14:33.976Z