2 papers
math.CO2026
On Ziegler's conjectures for logarithmic derivations of arrangements
Takuro Abe, Graham Denham
In his paper and thesis in 1989, Ziegler posed several conjectures regarding commutative algebra related to hyperplane arrangements. In this article, we revisit two of them. One is…
math.CO2026
Deletion-Restriction for Logarithmic Forms on Multiarrangements
Takuro Abe, Graham Denham
We consider the behaviour of logarithmic differential forms on arrangements and multiarrangements of hyperplanes under the operations of deletion and restriction, extending early w…