Generating series of a new class of orthogonal Shimura varieties

Rosu, Eugenia; Yott, Dylan

doi:10.2140/ant.2020.14.2743

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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

DOI: 10.2140/ant.2020.14.2743

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.

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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

Vol. 14, No. 10, 2020