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math.AG2025
Milnor fibrations and oriented matroids
Paul Mücksch, Masahiko Yoshinaga
We introduce a combinatorial model for the Milnor fibration of a complexified real arrangement using oriented matroids. It is a poset quasi-fibration, whose domain is a subdivision…
math.AG2025
Maximal Betti number for local system cohomology of hyperplane arrangement complements
Yongqiang Liu, Masahiko Yoshinaga
Let be a rank one local system with field coefficient on the complement of an essential complex hyperplane arrangement in $\mathbb{C}^\…