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Two applications of the curve lemma for orthogonal groups

✍ Scribed by Jan Hendrik Bruinier

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
214 KB
Volume
274-275
Category
Article
ISSN
0025-584X

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✦ Synopsis

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. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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