Showing math.ACShow all
2 papers · 1 filter
math.AC2025
-rationality of two-dimensional graded rings with a rational singularity
Kohsuke Shibata
It is known that a two-dimensional -rational ring has a rational singularity. However a two-dimensional ring with a rational singularity is not -rational in general. In this…
math.AC2025
A characterization of binomial Macaulay dual generators for complete intersections
Kohsuke Shibata
We characterize a binomial such that the Artinian algebra whose Macaulay dual generator is the binomial is a complete intersection. As an application, we prove that the Artinian al…