Gauss-Manin connection in disguise: Genus two curves
Algebraic Geometry
2021-09-17 v2 Mathematical Physics
Complex Variables
math.MP
Abstract
We describe an algebra of meromorphic functions on the Siegel domain of genus two which contains Siegel modular forms for an arithmetic index six subgroup of the symplectic group and it is closed under three canonical derivations of the Siegel domain. The main ingredients of our study are the moduli of enhanced genus two curves, Gauss-Manin connection and the modular vector fields living on such moduli spaces.
Keywords
Cite
@article{arxiv.1910.07624,
title = {Gauss-Manin connection in disguise: Genus two curves},
author = {Jin Cao and Hossein Movasati and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1910.07624},
year = {2021}
}
Comments
Two sections are added