Theory of the Siegel Modular Variety
Number Theory
2009-07-25 v2 Algebraic Geometry
Abstract
In this paper, we discuss the theory of the Siegel modular variety in the aspects of arithmetic and geometry. This article covers the theory of Siegel modular forms, the Hecke theory, a lifting of elliptic cusp forms, geometric properties of the Siegel modular variety, (hypothetical) motives attached to Siegel modular forms and a cohomology of the Siegel modular variety.
Keywords
Cite
@article{arxiv.0706.4268,
title = {Theory of the Siegel Modular Variety},
author = {Jae-Hyun Yang},
journal= {arXiv preprint arXiv:0706.4268},
year = {2009}
}
Comments
52 pages ; Correction of typographical errors; added two references