31 citations · 36 across the 4 of their papers we have counts for
5 papers
Determinant structure for tau-function of holonomic deformation of linear differential equations
Masao Ishikawa, Toshiyuki Mano, Teruhisa Tsuda
In our previous works, a relationship between Hermite's two approximation problems and Schlesinger transformations of linear differential equations has been clarified. In this pape…
Freeness of multi-reflection arrangements via primitive vector fields
Torsten Hoge, Toshiyuki Mano, Gerhard Roehrle +1
In 2002, Terao showed that every reflection multi-arrangement of a real reflection group with constant multiplicity is free by providing a basis of the module of derivations. We fi…
Regular flat structure and generalized Okubo system
Hiroshi Kawakami, Toshiyuki Mano
We study a relationship between regular flat structures and generalized Okubo systems. We show that the space of variables of isomonodromic deformations of a regular generalized Ok…
Flat Structure on the Space of Isomonodromic Deformations
Mitsuo Kato, Toshiyuki Mano, Jiro Sekiguchi
Flat structure was introduced by K. Saito and his collaborators at the end of 1970's. Independently the WDVV equation arose from the 2D topological field theory. B. Dubrovin unifie…
Hermite-Pade approximation, isomonodromic deformation and hypergeometric integral
Toshiyuki Mano, Teruhisa Tsuda
We develop an underlying relationship between the theory of rational approximations and that of isomonodromic deformations. We show that a certain duality in Hermite's two approxim…