Tautological modular forms of level two and degree two
Algebraic Geometry
2026-05-14 v1 Number Theory
Abstract
We show how to use divisors on the projectivized Hodge bundle to construct special vector-valued modular forms and then apply invariant theory to construct all vector-valued Siegel modular forms of level two and degree two. Thus we construct all modular forms in terms of certain basic modular forms that are intimately connected to the moduli of curves of genus two.
Cite
@article{arxiv.2605.13300,
title = {Tautological modular forms of level two and degree two},
author = {Fabien Cléry and Gerard van der Geer},
journal= {arXiv preprint arXiv:2605.13300},
year = {2026}
}
Comments
22 pages