2020•MPG.PuRe (Max Planck Society)Open access

Generating series of a new class of orthogonal Shimura varieties

Roşu, E., Yott, D.

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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.

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What this paper is about

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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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Mathematics, Shimura variety, Pure mathematics, Modularity (biology), Series (stratigraphy), Cohomology, Class (philosophy), Algebra over a field

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