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The curve selection lemma and the Morse–Sard theorem

✍ Scribed by Carlos Gustavo Moreira; Maria Aparecida Soares Ruas

Publisher: Springer
Year: 2009
Tongue: English
Weight: 138 KB
Volume: 129
Category: Article
ISSN: 0025-2611
DOI: 10.1007/s00229-009-0275-2

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## 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 fo