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Data for Shimura
varieties intersecting the Torelli locus
Wanlin Li, Elena Mantovan and Rachel Pries |
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Vol. 343 (2026), No. 1, 179–210
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Abstract |
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For infinitely many Hurwitz spaces parametrizing cyclic covers of the projective line, we provide a method to determine the integral PEL datum of the Shimura variety that contains the image of the Hurwitz space under the Torelli morphism. |
Keywords
abelian variety, curve, Jacobian, complex multiplication,
moduli space, Hurwitz space, Shimura variety, Torelli
locus, PEL type, lattice, Hermitian form, cyclotomic field,
class group
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Mathematical Subject Classification
Primary: 11G15, 11G18, 14H10, 14K10, 14K22
Secondary: 11G10, 11G30, 11R18, 14G35, 14H40
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Milestones
Received: 7 September 2021
Revised: 22 December 2024
Accepted: 21 March 2026
Published: 29 April 2026
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Authors |
| Wanlin Li | |
| Department of Mathematics Vanderbilt University Nashville, TN United States |
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| Elena Mantovan | |
| Department of Mathematics California Institute of Technology Pasadena, CA United States |
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| Rachel Pries | |
| Department of Mathematics Colorado State University Fort Collins, CO United States |
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| © 2026 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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