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math.AG2026
Regions of totally real arrangements of rational curves
Masahiko Yoshinaga
We prove a plane-curve analogue of Zaslavsky's theorem for arrangements of real rational curves for which every complex singularity with more than one local branch is real and all…
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}^\…