13 citations · 27 across the 9 of their papers we have counts for
4 papers · 1 filter
On the extendability of free multiarrangements
Masahiko Yoshinaga
A free multiarrangement of rank is defined to be extendable if it is obtained from a simple rank free arrangement by the natural restriction to a hyperplane (in the sen…
Coxeter multiarrangements with quasi-constant multiplicities
Takuro Abe, Masahiko Yoshinaga
We study structures of derivation modules of Coxeter multiarrangements with quasi-constant multiplicities by using the primitive derivation. As an application, we show that the cha…
Some characterizations of freeness of hyperplane arrangement
Masahiko Yoshinaga
We will consider some characterizations of freeness of a hyperplane arrangement, in terms of the following properties: locally freeness, factorization of characteristic polynomial…
The primitive derivation and freeness of multi-Coxeter arrangements
Masahiko Yoshinaga
We will prove the freeness of multi-Coxeter arrangements by constructing a basis of the module of vector fields which contact to each reflecting hyperplanes with some multiplicitie…