Theory of the Siegel Modular Variety

Details Theory of the Siegel Modular Variety Theory of the Siegel Modular Variety

2007-06-28

arxiv.org/abs/0706.4268v2

Proceedings of the International Conferences on Number Theory and Cryptography, Edited by S. D. Adhikari and B. Ramakrishnan,

Mathematics

Number Theory

52 pages ; Correction of typographical errors; added two references

Scientific paper

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.

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