Generating series of a new class of orthogonal Shimura varieties

Roşu, Eugenia; Yott, Dylan

doi:10.2140/ant.2020.14.2743

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Generating series of a new class of orthogonal Shimura varieties

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Roşu, Eugenia
Max Planck Institute for Mathematics, Max Planck Society;

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Roşu, E., & Yott, D. (2020). Generating series of a new class of orthogonal Shimura varieties. Algebra & Number Theory, 14(10), 2743-2772. doi:10.2140/ant.2020.14.2743.

Cite as: https://hdl.handle.net/21.11116/0000-0007-A27B-8

Abstract

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