W. Heinzer

activity

20022026

most citedIdeal theory of infinite directed unions of local quadratic transforms

2 citations · 3 across the 25 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AC2017

Noetherian intersections of regular local rings of dimension two

William Heinzer, Bruce Olberding

Let $D$ be a 2-dimensional regular local ring and let $Q (D)$ denote the quadratic tree of 2-dimensional regular local overrings of $D$ . We examine the Noetherian rings that are int…

math.AC2017

Abhyankar's Work on Dicritical Divisors

William Heinzer, David Shannon

We discuss the work of Abhyankar on dicritical divisors with a special focus on the algebraic aspects of this work. We also discuss related work on local quadratic transforms, infi…

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…