45 citations · 97 across the 32 of their papers we have counts for
4 papers · 1 filter
Jet schemes of homogeneous hypersurfaces
Shihoko Ishii, Akiyoshi Sannai, Kei-ichi Watanabe
This paper studies the singularities of jet schemes of homogeneous hypersurfaces of general type. We obtain the condition of the degree and the dimension for the singularities of t…
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…