Kudla–Millson forms and one-variable degenerations of Hodge structure
Abstract
We consider arbitrary polarized variations of Hodge structure of weight two with h 2,0 = 1 over a non-singular complex algebraic curve S 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 S and to describe explicitly the non-holomorphic part of the Kudla-Millson generating series in terms of the mixed Hodge structures at infinity.
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Algebraic geometry
- Publisher
- Foundation Compositio Mathematica
- Pages
- 371–410
- Publication date
- 21 April 2026
- Language
- EN