8 citations · 27 across the 10 of their papers we have counts for
11 papers
A characterization of root systems from the viewpoint of denominator formulae
Hiroki Aoki, Hiraku Kawanoue
Root systems are sets with remarkable symmetries and therefore they appear in many situations in mathematics. Among others, denominator formulae of root systems are very beautiful…
On the extended Catalan arrangement of type
Hiraku Kawanoue
We give an explicit formula for the generators of the logarithmic vector field of the coning of the extended Catalan arrangement of type .
Cokernels of the Euler restriction map of logarithmic derivation modules
Takuro Abe, Hiraku Kawanoue
There are two restriction maps of the logarithmic modules of plane arrangements in a three dimensional vector space. One is the Euler restriction and the other is the Ziegler restr…
On Abel's Problem about Logarithmic Integrals in Positive Characteristic
Florian Fürnsinn, Herwig Hauser, Hiraku Kawanoue
Linear differential equations with polynomial coefficients over a field of positive characteristic with local exponents in the prime field have a basis of solutions in the…
On a conjecture of Feigin, Wang and Yoshinaga
Hiraku Kawanoue
We settled a conjecture of Feigin, Wang and Yoshinaga, appeared in the preprint "Integral expressions for derivations of multiarrangements" (arXiv: 2309.01287v2).
A new strategy for resolution of singularities in the monomial case in positive characteristic
Hiraku Kawanoue, Kenji Matsuki
According to our approach for resolution of singularities in positive characteristic (called the Idealistic Filtration Program, alias the I.F.P. for short) the algorithm is devided…