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arXiv · 1312.6233

Solutions alg\'ebriques. Solutions alg\'ebriques partielles des \'equations isomonodromiques sur les courbes de genre $2$

Karamoko Diarra
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Abstract

On \'etudie la possibilit\'e de construire des solutions alg\'ebriques partielles des \'equations d'isomonodromie pour les connections holomorphes de rang $2$ sur les courbes de genre $2$ en adaptant la m\'ethode d'Andreev et Kitaev par les familles de Hurwitz. Nous classifions tous les cas o\`u la connection est \`a monodromie Zariski dense.

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Karamoko Diarra. 2013-12-21. Solutions alg\'ebriques. Solutions alg\'ebriques partielles des \'equations isomonodromiques sur les courbes de genre $2$. https://arxiv.org/abs/1312.6233

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