Kudla-Millson forms and one-variable degenerations of Hodge structure
Algebraic Geometry
2023-01-23 v1
Abstract
We consider arbitrary polarized variations of Hodge structure of weight two and over a non--singular complex algebraic curve and analyze the boundary behaviour of the associated Kudla--Millson theta series using Schmid's theorems on degenerations of Hodge structure. This allows us to prove that this theta series is always integrable over and to describe explicitly the non-holomorphic part of the Kudla--Millson generating series in terms of the mixed Hodge structures at infinity.
Cite
@article{arxiv.2301.08733,
title = {Kudla-Millson forms and one-variable degenerations of Hodge structure},
author = {Luis E. García},
journal= {arXiv preprint arXiv:2301.08733},
year = {2023}
}