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Semistable models for some unitary Shimura varieties over ramified primes

Ioannis Zachos
Vol. 18 (2024), No. 9, 1715–1736
DOI: 10.2140/ant.2024.18.1715
Abstract

We consider Shimura varieties associated to a unitary group of signature (n − 2,2). We give regular p-adic integral models for these varieties over odd primes p which ramify in the imaginary quadratic field with level subgroup at p given by the stabilizer of a selfdual lattice in the hermitian space. Our construction is given by an explicit resolution of a corresponding local model.

Keywords
Shimura varieties, regular integral models, local models
Mathematical Subject Classification
Primary: 11G18, 11G25, 14F40, 14G35, 14K10
Milestones
Received: 2 November 2022
Revised: 9 May 2023
Accepted: 12 October 2023
Published: 19 September 2024
Authors
Ioannis Zachos
Deptartment of Mathematics
Boston College
Boston, MA
United States
© 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).

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