Ramified covers and tame isomonodromic solutions on curves

Karamoko Diarra (1) , Frank Loray (2)

1 USTTB - Université des Sciences, des Techniques et des Technologies de Bamako
2 IRMAR - Institut de Recherche Mathématique de Rennes

In this paper, we investigate the possibility of constructing isomonodromic deformations of logarithmic connections on curves by ramified covers. We give new examples and prove a classification result.

Domaines: Analyse classique [math.CA]

Karamoko Diarra, Frank Loray. Ramified covers and tame isomonodromic solutions on curves. Transactions of the Moscow Mathematical Society, 2015, 76 (2), pp.219-236. ⟨10.1090/mosc/247⟩. ⟨hal-01097433⟩