445 citations
- The University of TokyoJP24 papers
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math.CA2007★ 3 cited
Modified A-hypergeometric Systems
Nobuki Takayama
We will introduce a modified system of A-hypergeometric system (GKZ system) by applying a change of variables for Groebner deformations and study its Groebner basis and the indicia…
math.CA2007★ 9 cited
Holonomic rank of A-hypergeometric differential-difference equations
Katsuyoshi Ohara, Nobuki Takayama
We introduce A-hypergeometric differential-difference equation and prove that its holonomic rank is equal to the normalized volume of A with giving a set of convergent series solut…
math.CA2007
Derived Schwarz map of the hypergeometric differential equation and a parallel family of flat fronts
Takeshi Sasaki, Kotaro Yamada, Masaaki Yoshida
In the previous paper (math.CA/0609196) we defined a map, called the hyperbolic Schwarz map, from the one-dimensional projective space to the three-dimensional hyperbolic space by…