Modular forms via invariant theory
Number Theory
2023-04-10 v3 Algebraic Geometry
Abstract
We discuss two simple but useful observations that allow the construction of modular forms from given ones using invariant theory. The first one deals with elliptic modular forms and their derivatives, and generalizes the Rankin-Cohen bracket, while the second one deals with vector-valued modular forms of genus greater than one.
Keywords
Cite
@article{arxiv.2211.05611,
title = {Modular forms via invariant theory},
author = {Fabien Cléry and Gerard van der Geer},
journal= {arXiv preprint arXiv:2211.05611},
year = {2023}
}
Comments
11 pages; inaccuracies corrected