On the moduli of logarithmic connections on elliptic curves

We describe moduli spaces of logarithmic rank 2 connections on elliptic curves with n ≥ 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...

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Bibliographic Details
Published in:Mathematische Zeitschrift 2022-08, Vol.301 (4), p.4079-4118
Main Authors: Fassarella, Thiago, Loray, Frank, Muniz, Alan
Format: Article
Language:English
Subjects:
Algebraic Geometry
Classical Analysis and ODEs
Curves
Mathematics
Mathematics and Statistics
Stability analysis
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Summary:We describe moduli spaces of logarithmic rank 2 connections on elliptic curves with n ≥ 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.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-022-03041-4