Mixed mock modularity of special divisors
Algebraic Geometry
2025-01-22 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.2301.05982,
title = {Mixed mock modularity of special divisors},
author = {Philip Engel and François Greer and Salim Tayou},
journal= {arXiv preprint arXiv:2301.05982},
year = {2025}
}
Comments
39 pages, 0 figures. Corrected minor mistakes and improved the exposition of the paper