The singular locus of Lauricella's $F_C$
Ryohei HATTORI, Nobuki Takayama · Journal of the Mathematical Society of Japan · 2014
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 $F_C$.