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

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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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Publication date Created: 09 April 2024

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ArXiV ID: 2404.06254

SO-VID: c49a0934-a914-41a2-864b-626c1975f012

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http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Categories math.NT

ScienceOpen disciplines: Number theory

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ScienceOpen disciplines: Number theory

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

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