Geometric interpretation of Hermitian modular forms via Burkhardt invariants
Number Theory
2024-08-13 v3 Algebraic Geometry
Abstract
We give a complete theta expression of a pair of Hermitian modular forms as an inverse period mapping of lattice polarized surfaces. Our result gives a non-trivial relation among moduli of surfaces, theta functions and the finite complex reflection group of rank .
Cite
@article{arxiv.2004.08081,
title = {Geometric interpretation of Hermitian modular forms via Burkhardt invariants},
author = {Atsuhira Nagano and Hironori Shiga},
journal= {arXiv preprint arXiv:2004.08081},
year = {2024}
}
Comments
18 pages, 4 figures, 7 Tables ; Minor changes (minor typos are corrected)