Déformations isomonodromiques à travers de l’théorie de Galois différentielle

Autor: Díaz Arboleda, Juan Sebastián

Publikováno v: Differential Geometry [math.DG]. Université de Rennes 1; Universidad Nacional de Colombia, 2019. English

The text begins with a brief description of differential Galois theory from a geometrical perspective. Then, parameterized Galois theory is developed by means of prolongation of partial connections to the jet bundles. The relation between the paramet

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https://tel.archives-ouvertes.fr/tel-02338314v2/document

Un exemple de feuilletage modulaire déduit d'une solution algébrique de l'équation de Painlevé VI

Autor: Gaël Cousin

Publikováno v: Annales de l'Institut Fourier
Annales de l'Institut Fourier, 2014, 64 (2), pp.699-737. ⟨10.5802/aif.2863⟩
Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2014, 64 (2), pp.699-737. 〈10.5802/aif.2863〉
Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2014, 64 (2), pp.699-737. ⟨10.5802/aif.2863⟩

One can easily give examples of rank 2 flat connections over $\mathbb{P}^2$ by rational pull-back of connections over $\mathbb{P}^1$. We give an example of a connection that can not occur in this way; this example is constructed from an algebraic sol

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https://hal.science/hal-00659358v3/document