Mixed mock modularity of special divisors

2023/01/14 by Philip Engel, Engel, Philip, François Greer +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2301.05982

Abstract

We prove that the generating series of special divisors in toroidal compactifications of orthogonal Shimura varieties is a mixed mock modular form. More precisely, we find an explicit completion using theta series associated to rays in the cone decomposition. The proof relies on intersection theory at the boundary of the Shimura variety.

Cited by

• The cohomological Kudla conjecture for unitary Shimura varieties

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