Isomorphism Classes of A-Hypergeometric Systems |
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Authors: | Mutsumi Saito |
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Institution: | (1) Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan |
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Abstract: | Given a finite set A of integral vectors and a parameter vector, Gel'fand, Kapranov, and Zelevinskii defined a system of differential equations, called an A-hypergeometric (or a GKZ hypergeometric) system. Classifying the parameters according to the D-isomorphism classes of their corresponding A-hypergeometric systems is one of the most fundamental problems in the theory. In this paper we give a combinatorial answer for the problem under the assumption that the finite set A lies in a hyperplane off the origin, and illustrate it in two particularly simple cases: the normal case and the monomial curve case. |
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Keywords: | A-hypergeometric systems isomorphism classes symmetry algebra |
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