Antisymmetry of real quadratic singular moduli

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Sören Sprehe
DOI: 10.48550/arxiv.2603.09764
Cited by: 0

Abstract

We confirm a conjecture of Darmon--Vonk on the antisymmetry of real quadratic singular moduli. The proof relies on a careful analysis of rigid meromorphic cocycles à la Darmon--Gehrmann--Lipnowski for the orthogonal group of a quaternion algebra. Moreover, we prove the modularity of a generating series of Kudla--Millson divisors in the spirit of Gross--Kohnen--Zagier.

Fields of Study & Subjects

Advanced Algebra and Geometry Advanced Mathematical Identities Algebraic Geometry and Number Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
10 March 2026
Language
EN
Document type
Preprint