Covariants of binary sextics and modular forms of degree 2 with character
Algebraic Geometry
2019-08-14 v1 Number Theory
Abstract
We use covariants of binary sextics to describe the structure of modules of scalar-valued or vector-valued Siegel modular forms of degree 2 with character, over the ring of scalar-valued Siegel modular forms of even weight. For a modular form defined by a covariant we express the order of vanishing along the locus of products of elliptic curves in terms of the covariant.
Keywords
Cite
@article{arxiv.1803.05624,
title = {Covariants of binary sextics and modular forms of degree 2 with character},
author = {Fabien Cléry and Carel Faber and Gerard van der Geer},
journal= {arXiv preprint arXiv:1803.05624},
year = {2019}
}
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18 pages