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math.CO2025
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…
math.CO2023★ 1 cited
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…