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;

External Ressource

https://doi.org/10.2140/ant.2020.14.2743
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arXiv:1812.05183.pdf
(Preprint), 331KB

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Citation

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

Cite as: http://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.