Two applications of the curve lemma for orthogonal groups
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We show (under some hypothesis in small dimensions) that the analytic degree of the divisor of a modular form on the orthogonal group O(2,p) is determined by its weight. Moreover, we prove that certain integrals, occurring in Arakelov intersection theory, associated with modular forms on O(2,p) converge.
Cite
@article{arxiv.math/0301102,
title = {Two applications of the curve lemma for orthogonal groups},
author = {Jan H. Bruinier},
journal= {arXiv preprint arXiv:math/0301102},
year = {2007}
}
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16 pages