%0 Journal Article %T Geometric and $p$-adic modular forms of half-integral weight %A Nick Ramsey %J Mathematics %D 2009 %I arXiv %X 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 $p$-adic forms are introduced. The $p$-adic theory is greatly expanded in subsequent papers, making that part of this paper largely obsolete. %U http://arxiv.org/abs/0906.3238v1