1 citations · 1 across the 8 of their papers we have counts for
9 papers
Differential operators, retracts, and toric face rings
Christine Berkesch, C-Y. Jean Chan, Patricia Klein +3
We give explicit descriptions of rings of differential operators of toric face rings in characteristic . For quotients of normal affine semigroup rings by radical monomial ideal…
The Shape of Hilbert-Kunz Functions
C-Y. Jean Chan
We discuss Hilbert-Kunz function from when it was originally defined to its recent developments. A brief history of Hilbert-Kunz theory is first recounted. Then we review several t…
An illustrated view of differential operators of a reduced quotient of an affine semigroup ring
Christine Berkesch, C-Y. Jean Chan, Patricia Klein +3
Through examples, we illustrate how to compute differential operators on a quotient of an affine semigroup ring by a radical monomial ideal, when working over an algebraically clos…
Hilbert-Kunz functions over rings regular in codimension one
C. -Y. Jean Chan, Kazuhiko Kurano
The aim of this manuscript is to discuss the Hilbert-Kunz functions over an excellent local ring regular in codimension one. We study the shape of the Hilbert-Kunz functions of mod…
The cone spanned by maximal Cohen-Macaulay modules and an application
C. -Y. Jean Chan, Kazuhiko Kurano
The aim of this paper is to define the notion of the Cohen-Macaulay cone of a Noetherian local domain R and to present its application to the theory of Hilbert-Kunz functions. It h…
Cohen-Macaulay multigraded modules
C-Y. Jean Chan, Christine Cumming, Huy Tai Ha
Let S be a standard N^r-graded algebra over a local ring A, and let M be a finitely generated Z^r-graded S-module. We characterize the Cohen-Macaulayness of M in terms of the vanis…