Groebner basis and singular locus of Lauricella's hypergeometric differential equations

preprint2013arXivOpen access

We derive Groebner bases for Lauricella's hypergeometric differential equations $I_A(m), I_B(m), I_C(m)$ with respect to a monomial order. By using these Groebner bases, we determine characteristic varieties and the singular loci of $I_A(m), I_B(m), I_C(m)$ .

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Groebner basis and singular locus of Lauricella's hypergeometric differential equations

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