7 citations · 27 across the 32 of their papers we have counts for
45 papers
The Nash manifold of four-point configurations modulo similarity subgroups
Bruce Olberding, Elaine A. Walker
We construct and study the Nash manifold of four-point configurations in the real plane modulo the action of a Nash subgroup of the group of similarity transformations. We do so by…
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…
Realization of spaces of commutative rings
Laura Cossu, Bruce Olberding
Motivated by recent work on the use of topological methods to study collections of rings between an integral domain and its quotient field, we examine spaces of subrings of a commu…
Connectedness and integrally closed local overrings of two-dimensional regular local rings
William Heinzer, K. Alan Loper, Bruce Olberding +1
Let 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 that dominat…
A connectedness theorem for spaces of valuation rings
William Heinzer, K. Alan Loper, Bruce Olberding +1
Let be a field, let be a local subring of , and let Val be the space of valuation rings of that dominate . We lift Zariski's connectedness theorem for fibe…
Bisector fields and projective duality
Bruce Olberding, Elaine A. Walker
Working over a field of characteristic , we study what we call bisector fields, which are arrangements of paired lines in the plane that have the property tha…