Two applications of the curve lemma for orthogonal groups

Details Two applications of the curve lemma for orthogonal groups Two applications of the curve lemma for orthogonal groups

2003-01-10

arxiv.org/abs/math/0301102v1

Mathematics

Number Theory

16 pages

Scientific paper

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.

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