Two applications of the curve lemma for orthogonal groups
classification
🧮 math.NT
math.AG
keywords
modularorthogonalanalyticapplicationsarakelovassociatedcertainconverge
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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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