8 citations · 27 across the 10 of their papers we have counts for
5 papers · 1 filter
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 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…