45 citations · 97 across the 32 of their papers we have counts for
5 papers · 1 filter
Infinitely generated symbolic Rees algebras over finite fields
Akiyoshi Sannai, Hiromu Tanaka
For the polynomial ring over an arbitrary field with twelve variables, there exists a prime ideal whose symbolic Rees algebra is not finitely generated.
Dual F-signature
Akiyoshi Sannai
We define the dual F-signature of modules, which is equivalent to the F-signature if the module is the base ring. By using this invariant, We give characterizations of regular, F-r…
Generalized Koszul resolutions
Satoshi Mochizuki, Akiyoshi Sannai
The main objective of this paper is to generalize a notion of Koszul resolutions and charcterizing modules which admits such a resolution. We turn out that for a noetherian ring $A…
Higher K-theory of polynomial categories
Satoshi Mochizuki, Akiyoshi Sannai
The main theorem in this paper is that the base change functor from an abelian category $\cA$ to its polynomial category in the sense of Schlichting $-\otimes_{\cA}\bbZ[t]:\cA \to…
Galois extensions, plus closure, and maps on local cohomology
Akiyoshi Sannai, Anurag K. Singh
Given a local domain of prime characteristic that is a homomorphic image of a Gorenstein ring, Huneke and Lyubeznik proved that there exists a module-finite extension domai…