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arXiv · 2608.01551

Square-integrability of holomorphic differential forms on locally symmetric varieties

Shouhei Ma
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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.

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Shouhei Ma. 2026-08-03. Square-integrability of holomorphic differential forms on locally symmetric varieties. https://arxiv.org/abs/2608.01551

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