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Journal Articles Mathematische Zeitschrift Year : 2022

On the moduli of logarithmic connections on elliptic curves

Abstract

We describe moduli spaces of logarithmic rank 2 connections on elliptic curves with n>0 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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Dates and versions

hal-02923926 , version 1 (27-08-2020)
hal-02923926 , version 2 (08-01-2021)
hal-02923926 , version 3 (28-03-2022)

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Thiago Fassarella, Frank Loray, Alan Muniz. On the moduli of logarithmic connections on elliptic curves. Mathematische Zeitschrift, In press, ⟨10.1007/s00209-022-03041-4⟩. ⟨hal-02923926v3⟩
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