1 citations · 1 across the 7 of their papers we have counts for
9 papers
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…
Reconstruction of oriented matroids from Varchenko-Gelfand algebras
Yukino Yagi, Masahiko Yoshinaga
The algebra of -valued functions on the set of chambers of a real hyperplane arrangement is called the Varchenko-Gelfand (VG) algebra. This algebra carries a natural filtration…
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…
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}^\…
Magnitude homology and homotopy type of metric fibrations
Yasuhiko Asao, Yu Tajima, Masahiko Yoshinaga
In this article, we show that each two metric fibrations with a common base and a common fiber have isomorphic magnitude homology, and even more, the same magnitude homotopy type.…
Topology of hyperplane arrangements via real structure
Masahiko Yoshinaga
This note is a survey on the topology of hyperplane arrangements. We mainly focus on the relationship between topology and the real structure, such as adjacent relations of chamber…
A construction of homotopically non-trivial embedded spheres for hyperplane arrangements
Masahiko Yoshinaga
We introduce the notion of locally consistent system of half-spaces for a real hyperplane arrangement. We embed a sphere in the complexified complement by shifting the real unit sp…
-deformation of Aomoto complex
Masahiko Yoshinaga
A degree one element of the Orlik-Solomon algebra of a hyperplane arrangement defines a cochain complex known as the Aomoto complex. The Aomoto complex can be considerd as the ``li…
Integral expressions for derivations of multiarrangements
Misha Feigin, Zixuan Wang, Masahiko Yoshinaga
The construction of an explicit basis for a free multiarrangement is not easy in general. Inspired by the integral expressions for quasi-invariants of quantum Calogero-Moser system…