Two applications of the curve lemma for orthogonal groups

2003/01/10 by Jan Hendrik Bruinier, Jan H. Bruinier, Bruinier, Jan H. · 1 citation
Mathematics · #11F55 #14C20 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #math.AG #math.NT #msc:11F55 #msc:14C20

paper · pdf · doi:10.48550/arxiv.math/0301102

16 pages

arxiv created 2003/01/10 · openalex publication_date 2003/01/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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