Geometric interpretation of Hermitian modular forms via Burkhardt invariants
arXiv:2004.08081 · doi:10.1007/s00031-021-09681-w
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 .
18 pages, 4 figures, 7 Tables ; Minor changes (minor typos are corrected)