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.CO2025
Lattice polytopes and semigroup algebras: Generic Lefschetz properties and Parseval-Rayleigh identities
Karim Alexander Adiprasito, Stavros Argyrios Papadakis, Vasiliki Petrotou
We study semigroup algebras associated to lattice polytopes. We begin by generalizing and refining work of Hochster, and describe the volume maps of these algebras, that is, their…