Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties
Number Theory
2024-04-10 v1
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
Cite
@article{arxiv.2404.06254,
title = {Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties},
author = {Jan Hendrik Bruinier and Eugenia Rosu and Shaul Zemel},
journal= {arXiv preprint arXiv:2404.06254},
year = {2024}
}