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

Fuente: arXiv
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Autores principales: Bruinier, Jan Hendrik, Rosu, Eugenia, Zemel, Shaul
Formato: Preprint
Publicado: 2024
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author Bruinier, Jan Hendrik
Rosu, Eugenia
Zemel, Shaul
author_facet Bruinier, Jan Hendrik
Rosu, Eugenia
Zemel, Shaul
contents 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
format Preprint
id arxiv_https___arxiv_org_abs_2404_06254
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties
Bruinier, Jan Hendrik
Rosu, Eugenia
Zemel, Shaul
Number Theory
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
title Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties
topic Number Theory
url https://arxiv.org/abs/2404.06254