Ramified covers and tame isomonodromic solutions on curves
Karamoko Diarra, Frank Loray
TL;DR
This paper explores constructing isomonodromic deformations of logarithmic connections on curves via ramified covers, providing new examples and a classification result to advance understanding in this area.
Contribution
It introduces novel methods using ramified covers for isomonodromic deformations and offers a classification of such solutions on curves.
Findings
New examples of isomonodromic deformations constructed via ramified covers
A classification theorem for these deformations on curves
Enhanced understanding of the structure of tame isomonodromic solutions
Abstract
In this paper, we investigate the possibility of constructing isomonodromic deformations of logarithmic connections on curves by using ramified covers. We give new examples and prove a classification result.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Polynomial and algebraic computation