Linear differential equations on P2 and representaitons of quivers

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  • Representation Theory of Algebraic Groups and Related Topics : Proceedings of the workshop on Representation Theory, September 15,16, 2012 JOSAI UNIVERSITY

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In this article we consider the additive Delinge-Simpson problem which is originally defined for systems of first order Fuchsian differential equations on the Riemann sphere. We will generalize this problem to systems of differential equations with at most unramified irregular singular points. A correspondence between the systems of differential equations and representations of quivers is given and applied to the additive Delinge-Simpson problem. This is a survey of the forthcoming paper [4] which contains the detailed proofs of the statements in this article.

Representation Theory of Algebraic Groups and Related Topics : Proceedings of the workshop on Representation Theory, September 15,16, 2012 JOSAI UNIVERSITY / edited by Masatoshi IIDA, Takeyoshi KOGISO, Haruko NISHI, Kiyoko NISHIZAWA.

identifier:JOS-13447777-06_29

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