3 papers
math.AC2026
Frobenius identities for the volume map on Cohen--Macaulay rings
Karim Alexander Adiprasito, Eric Katz, Ryoshun Oba +2
We study the volume map on Artinian quotients of Cohen-Macaulay algebras in characteristic , and the interaction between it and the action of Frobenius on resolutions. This allo…
math.AC2025
Parseval-Rayleigh identities for homogeneous complete intersections
Karim Alexander Adiprasito, Ryoshun Oba, Stavros Argyrios Papadakis +1
We prove, in any positive characteristic, Parseval-Rayleigh identities for the residue map of a homogeneous complete intersection. As an application, we give a conceptual proof of…
math.CO2024
Multigraded strong Lefschetz property for balanced simplicial complexes
Ryoshun Oba
Generalizing the strong Lefschetz property for an -graded algebra, we introduce the multigraded strong Lefschetz property for an -graded algebra. We show…