Alg{\`e}bres diff{\'e}rentielles de formes quasi-Jacobi d'indice nul
Number Theory
2025-03-27 v1
Abstract
The notion of double depth associated with quasi-Jacobi forms allows distinguishing,within the algebra of quasi-Jacobi singular forms of index zero, certain significant subalgebras (modular-type forms, elliptic-type forms, Jacobi forms). We study the stability of these subalgebras under the derivations of the algebra of quasi-Jacobi singular forms of index zero and through certain sequences of bidifferential operators constituting analogs of Rankin-Cohen brackets or transvectants.
Cite
@article{arxiv.2503.20375,
title = {Alg{\`e}bres diff{\'e}rentielles de formes quasi-Jacobi d'indice nul},
author = {François Dumas and François Martin and Emmanuel Royer},
journal= {arXiv preprint arXiv:2503.20375},
year = {2025}
}
Comments
in French language