Eterovic, S. orcid.org/0000-0001-6724-5887 and Zhao, R. (2025) Algebraic Varieties and Automorphic Functions. International Mathematics Research Notices (IMRN), 2025 (4). rnaf029. ISSN: 1073-7928
Abstract
Let (G,X) be a Shimura datum, let Ω be a connected component of X, let Γ be a congruence subgroup of G(ℚ)⁺, and consider the quotient map q : Ω → S ≔ Γ \ Ω. Consider the Harish-Chandra embedding Ω ⊂ ℂᴺ, where N = dim X. We prove two results that give geometric conditions that, if satisfied by an algebraic variety V ⊂ ℂᴺ × S, ensure that there is a Zariski dense subset of V of points of the form (x,q(x)).
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | © The Author(s) 2025. Published by Oxford University Press. This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (https:// creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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| Institution: | The University of Leeds |
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
| Date Deposited: | 10 Dec 2025 16:13 |
| Last Modified: | 11 Dec 2025 11:07 |
| Published Version: | https://doi.org/10.1093/imrn/rnaf029 |
| Status: | Published |
| Publisher: | Oxford University Press |
| Identification Number: | 10.1093/imrn/rnaf029 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:235415 |
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