Algebraic de Rham theory for relative completion of $\mathrm{SL}_2(\mathbb{Z})$
Number Theory
2019-08-20 v2
Abstract
We develop an explicit algebriac de Rham theory for relative completion of . This allows the construction of iterated integrals involving modular forms of the second kind, generalizing iterated integrals of holomorphic modular forms that were previously studied by Brown and Manin. These newly constructed iterated integrals provide all 'multiple modular values' defined by Brown.
Keywords
Cite
@article{arxiv.1804.06977,
title = {Algebraic de Rham theory for relative completion of $\mathrm{SL}_2(\mathbb{Z})$},
author = {Ma Luo},
journal= {arXiv preprint arXiv:1804.06977},
year = {2019}
}
Comments
Revised mostly the last 3 sections, updated introduction and references