5 papers
Homology and cohomology intersection numbers of GKZ systems
Yoshiaki Goto, Saiei-Jaeyeong Matsubara-Heo
We describe the homology intersection form associated to regular holonomic GKZ systems in terms of the combinatorics of regular triangulations. Combining this result with the twist…
Lauricella's with finite irreducible monodromy group
Yoshiaki Goto
We study the conditions under which the monodromy group for Lauricella's hypergeometric function is finite irreducible. We give the conditions in terms of the param…
Picard-Vessiot groups of Lauricella's hypergeometric systems and Calabi-Yau varieties arising integral representations
Yoshiaki Goto, Kenji Koike
We study the Zariski closure of the monodromy group of Lauricella's hypergeometric function . If the identity component acts irreducibly, then…
Intersection numbers of twisted cycles and cocycles for degenerate arrangements
Yoshiaki Goto
We study the intersection numbers defined on twisted homology or cohomology groups that are associated with hypergeometric integrals corresponding to degenerate hyperplane arrangem…
Holonomic Gradient Method for Two Way Contingency Tables
Yoshihito Tachibana, Yoshiaki Goto, Tamio Koyama +1
The holonomic gradient method gives an algorithm to efficiently and accurately evaluate normalizing constants and their derivatives. We apply the holonomic gradient method in the c…