most citedExpansions of the Potts model partition function along deletions and contractions

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math.AC2025

Failure of the Lefschetz property for the Graphic Matroid

Ryo Takahashi

We consider the strong Lefschetz property for standard graded Artinian Gorenstein algebras. Such an algebra has a presentation of the quotient algebra of the ring of the differenti…

math.AC2024

Uniformly dominant local rings and Orlov spectra of singularity categories

Ryo Takahashi

We define a uniformly dominant local ring as a commutative noetherian local ring with an integer r such that the residue field is built from any nonzero object in the singularity c…