The singular locus of Lauricella's F_C

2011/10/31 by Ryohei Hattori, Hattori, Ryohei, Nobuki Takayama +1
Mathematics · #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #math.CA

paper · pdf · doi:10.48550/arxiv.1110.6675

16 pages

arxiv created 2011/10/31 · arxiv updated 2011/11/01

Abstract

We determine the singular locus of the Lauricella function F_C by utilizing the theory of D-modules and Gröbner basis. The A-hypergeometric system associated to F_C is also discussed.

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