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arXiv · 2404.06254

Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties

Jan Hendrik Bruinier·Eugenia Rosu·Shaul Zemel
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Abstract

We consider the generating series of appropriately completed 0-dimensional special cycles on a toroidal compactification of an orthogonal or unitary Shimura variety with values in the Chow group. We prove that it is a holomorphic Siegel, respectively Hermitian, modular form

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Jan Hendrik Bruinier, Eugenia Rosu, Shaul Zemel. 2024-04-09. Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties. https://arxiv.org/abs/2404.06254

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