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Solutions algébriques partielles des équations isomonodromiques sur les courbes de genre 2
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 24 (2015) no. 1, pp. 39-54.

We study the possiblility to construct partial algebraic solutions of the isomonodromy equations for holomorphic connexions of rank 2 on curves of genus 2 by adapting the Doran-Andreev-Kitaev method of Hurwitz families. We classify all cases where the connexion is Zariski dense monodromy.

On étudie la possibilité de construire des solutions algébriques partielles des équations d’isomonodromie pour les connexions holomorphes de rang 2 sur les courbes de genre 2 en adaptant la méthode de Doran-Andreev-Kitaev par les familles de Hurwitz. Nous classifions tous les cas où la connexion est à monodromie Zariski dense.

@article{AFST_2015_6_24_1_39_0,
     author = {Karamoko Diarra},
     title = {Solutions alg\'ebriques partielles des \'equations isomonodromiques sur les courbes de genre $2$},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {39--54},
     publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
     address = {Toulouse},
     volume = {6e s{\'e}rie, 24},
     number = {1},
     year = {2015},
     doi = {10.5802/afst.1441},
     mrnumber = {3325950},
     language = {fr},
     url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1441/}
}
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Karamoko Diarra. Solutions algébriques partielles des équations isomonodromiques sur les courbes de genre $2$. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 24 (2015) no. 1, pp. 39-54. doi : 10.5802/afst.1441. https://afst.centre-mersenne.org/articles/10.5802/afst.1441/

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