Vol. 14, No. 10, 2020

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Generating series of a new class of orthogonal Shimura varieties

Eugenia Rosu and Dylan Yott

Vol. 14 (2020), No. 10, 2743–2772
Abstract

For a new class of Shimura varieties of orthogonal type over a totally real number field, we construct special cycles and show the modularity of Kudla’s generating series in the cohomology group.

Keywords
Shimura varieties, special cycles, modular, generating series, automorphic in cohomology group, Green functions, Kudla–Millson form, theta functions
Mathematical Subject Classification 2010
Primary: 11G18
Secondary: 19E15
Milestones
Received: 12 September 2019
Revised: 15 April 2020
Accepted: 26 May 2020
Published: 19 November 2020
Authors
Eugenia Rosu
Max Planck Institute for Mathematics
Bonn
Germany
Department of Mathematics
University of Arizona
Tucson, AZ
United States
Dylan Yott
Department of Mathematics
UC Berkeley
Berkeley, CA
United States