Deformation theory of Fuchsian equations and logarithmic connections
Differential Geometry
2016-08-09 v1 Algebraic Geometry
Classical Analysis and ODEs
Abstract
Motivated by a remark and a question of Nicholas Katz, we characterize the tangent space of the space of Fuchsian equations with given generic exponents inside the corresponding moduli space of logarithmic connections: we construct a weight 1 Hodge structure on the tangent space of the moduli of logarithmic connections such that deformations of Fuchsian equations correspond to the -part.
Keywords
Cite
@article{arxiv.1103.2287,
title = {Deformation theory of Fuchsian equations and logarithmic connections},
author = {Szilárd Szabó},
journal= {arXiv preprint arXiv:1103.2287},
year = {2016}
}
Comments
Rewritten material of the first part of arXiv:math/0703230. Submitted to Studia Scientiarum Mathematicarum Hungarica