M. Toeniskoetter

activity

20162026

collaborators

4 papers

math.AC2026

Interval Rings

William Heinzer, K. Alan Loper, Bruce Olberding +1

Interval rings comprise a class of one-dimensional integrally closed local integral domains which are overrings of a two-dimensional regular local ring. We construct them by inters…

math.AC2024

Connectedness and integrally closed local overrings of two-dimensional regular local rings

William Heinzer, K. Alan Loper, Bruce Olberding +1

Let $D$ be a two-dimensional regular local ring. We prove there is a one-to-one correspondence between closed connected sets in the space of valuation overrings of $D$ that dominat…

math.AC2017

Directed unions of local quadratic transforms of regular local rings and pullbacks

Lorenzo Guerrieri, William Heinzer, Bruce Olberding +1

Let ${R_{n}, m_{n}}_{n \geq 0}$ be an infinite sequence of regular local rings with $R_{n + 1}$ birationally dominating $R_{n}$ and $m_{n} R_{n + 1}$ a principal idea…

math.AC2016

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…