Introduction to moduli spaces of connections: some explicit constructions
Classical Analysis and ODEs
2015-03-24 v1 Algebraic Geometry
Differential Geometry
Abstract
We give some concrete examples of moduli spaces of connections. Precisely, we explain how to explicitly construct the moduli spaces of rank 2 fuchsian systems and logarithmic connections on the Riemann sphere with 4 poles. The former ones are affine cubic surfaces; the latter ones are analytically isomorphic to affine surfaces but not algebraically: they do not carry non constant regular functions. We end with some remark on arbitrary number of poles.
Cite
@article{arxiv.1503.06781,
title = {Introduction to moduli spaces of connections: some explicit constructions},
author = {Frank Loray},
journal= {arXiv preprint arXiv:1503.06781},
year = {2015}
}