The singular locus of Lauricella's FC

Ryohei Hattori; Nobuki Takayama

doi:10.2969/jmsj/06630981

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

The singular locus of Lauricella's F_C

Ryohei Hattori, Nobuki Takayama

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Keywords: Lauricella's hypergeometric differential equation, singular locus, D-module, Gröbner basis, A-hypergeometric systems

JOURNAL FREE ACCESS

2014 Volume 66 Issue 3 Pages 981-995

DOI https://doi.org/10.2969/jmsj/06630981

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Abstract

We determine the singular locus of the holonomic system of differential equations annihilating Lauricella's hypergeometric function F_C by the theory of D-modules and of Gröbner bases. We also study the A-hypergeometric system associated to F_C.

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