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Square-integrability of holomorphic differential forms on locally symmetric varieties

2026/08/03 by Shouhei Ma
Mathematics · #math.AG #math.NT #msc:11F75

paper · pdf

arxiv created 2026/08/03 · arxiv updated 2026/08/04

Abstract

We prove that every holomorphic differential form of non-top degree on a locally symmetric variety with Baily-Borel boundary of codimension greater than 1 is square-integrable with respect to the invariant metric. This generalizes a theorem of Weissauer in the Siegel modular case.

Citations