5 papers
Log canonical thresholds of generic links of determinantal varieties
Youngsu Kim, Lance Edward Miller, Wenbo Niu
We show that the log canonical threshold of a generic determinantal variety and its generic link are the same.
A note on Non-Noetherian Cohen-Macaulay rings
Youngsu Kim, Andrew Walker
In this note, we study the Cohen-Macaulayness of non-Noetherian rings. We show that Hochster's celebrated theorem that a finitely generated normal semigroup ring is Cohen-Macaulay…
Equations defining certain graphs
Youngsu Kim, Vivek Mukundan
Consider the rational map defined by homogeneous polynomials $f_0,\dots,f…
Blowing Up Finitely Supported Complete Ideals in a Regular Local Ring
William Heinzer, Youngsu Kim, Matthew Toeniskoetter
Let I be a finitely supported complete m-primary ideal of a regular local ring (R, m). We consider singularities of the normalization of the blow-up Proj R[It] of I. A theorem of L…
On the Equality of Ordinary and Symbolic Powers of Ideals
Aline Hosry, Youngsu Kim, Javid Validashti
We consider the following question concerning the equality of ordinary and symbolic powers of ideals. In a regular local ring, if the ordinary and symbolic powers of a one-dimensio…