Algebraic de Rham theory for weakly holomorphic modular forms of level one
Number Theory
2018-06-20 v2 Algebraic Geometry
Abstract
We establish an Eichler-Shimura isomorphism for weakly modular forms of level one. We do this by relating weakly modular forms with rational Fourier coefficients to the algebraic de Rham cohomology of the modular curve with twisted coefficients. This leads to formulae for the periods and quasi-periods of modular forms.
Cite
@article{arxiv.1708.00652,
title = {Algebraic de Rham theory for weakly holomorphic modular forms of level one},
author = {Francis Brown and Richard Hain},
journal= {arXiv preprint arXiv:1708.00652},
year = {2018}
}
Comments
25 pages: final version; added references and several minor corrections