5 citations · 9 across the 5 of their papers we have counts for
5 papers
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 .
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).
Non-recursive freeness and non-rigidity of plane arrangements
Takuro Abe, Michael Cuntz, Hiraku Kawanoue +1
In the category of free arrangements, inductively and recursively free arrangements are important. In particular, in the former, Terao's open problem asking whether freeness depend…
The smallest line arrangement which is free but not recursively free
Takuro Abe, Hiraku Kawanoue, Takeshi Nozawa
In the category of free arrangements, inductively and recursively free arrangements are important. In particular, in the former, the conjecture by Terao asserting that freeness dep…