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arXiv · 2008.11767

On the moduli of logarithmic connections on elliptic curves

Thiago Fassarella·Frank Loray·Alan Muniz
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Abstract

We describe moduli spaces of logarithmic rank $2$ connections on elliptic curves with $n \geq 1$ 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.

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Thiago Fassarella, Frank Loray, Alan Muniz. 2020-08-26. On the moduli of logarithmic connections on elliptic curves. https://doi.org/10.1007/s00209-022-03041-4

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