Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
GRÖBNER BASIS AND SINGULAR LOCUS OF LAURICELLA'S HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
Hiromasa NAKAYAMA
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Keywords: Lauricella's hypergeometric functions, Gröbner basis, characteristic variety, singular locus
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2014 Volume 68 Issue 2 Pages 287-296

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Abstract

We derive Gröbner bases for the systems of Lauricella's hypergeometric differential equations. By using these Gröbner bases, we determine characteristic varieties and singular loci of these systems.

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© 2014 Faculty of Mathematics, Kyushu University
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