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

2013/03/07 by Hiromasa Nakayama, Nakayama, Hiromasa · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Biological Activity of Diterpenoids and Biflavonoids #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1303.1674

openalex publication_date 2013/03/07 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

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).

Cited by

• Twisted period relations for Lauricella's hypergeometric function F_A

Related

• The singular locus of Lauricella's F_C
• Irreducibility of the monodromy representation of Lauricella's F_C
• The monodromy representation of Lauricella's hypergeometric function F_C
• Fundamental group of non-singular locus of Lauricella's F_C
• A system of hypergeometric differential equations in m variables of rank p^m