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Generating series of a new class of orthogonal Shimura varieties

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arxiv 1812.05183 v3 pith:7MU2LZW6 submitted 2018-12-12 math.NT

Eugenia Rosu , Dylan Yott This is my paper · ORCID
classification math.NT
keywords classgeneratingorthogonalseriesshimuravarietiescohomologyconstruct
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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.

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  1. The modularity of special cycles on orthogonal Shimura varieties over totally real fields under the Beilinson-Bloch conjecture

    math.NT 2019-08 conditional novelty 6.0 of 10

    Assuming the Beilinson-Bloch conjecture, generating series of special cycles of codimension er on these Shimura varieties are Hilbert-Siegel modular forms of genus r and weight 1+n/2.

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