On the moduli of logarithmic connections on elliptic curves
Algebraic Geometry
2022-05-31 v4 Classical Analysis and ODEs
Abstract
We describe moduli spaces of logarithmic rank connections on elliptic curves with poles and generic residues. In particular, we generalize a previous work by the first and second named authors. Our main approach is to analyze the underlying parabolic bundles; their stability and instability play a major role.
Cite
@article{arxiv.2008.11767,
title = {On the moduli of logarithmic connections on elliptic curves},
author = {Thiago Fassarella and Frank Loray and Alan Muniz},
journal= {arXiv preprint arXiv:2008.11767},
year = {2022}
}
Comments
Some changes in the exposition. Final version to appear in Math. Z.. Comments are still welcome!