Generating series of a new class of orthogonal Shimura varieties

Eugenia Rosu; Dylan Yott

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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Eugenia Rosu. Dylan Yott. "Generating series of a new class of orthogonal Shimura varieties." Algebra Number Theory 14 (10) 2743 - 2772, 2020. https://doi.org/10.2140/ant.2020.14.2743

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Received: 12 September 2019; Revised: 15 April 2020; Accepted: 26 May 2020; Published: 2020

First available in Project Euclid: 22 December 2020

MathSciNet: MR4190417

Digital Object Identifier: 10.2140/ant.2020.14.2743

Subjects:

Primary: 11G18

Secondary: 19E15

Keywords: automorphic in cohomology group , generating series , Green functions , Kudla–Millson form , modular , Shimura varieties , special cycles , Theta functions

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