2 citations · 3 across the 25 of their papers we have counts for
5 papers · 1 filter
Asymptotic properties of infinite directed unions of local quadratic transforms
William Heinzer, Bruce Olberding, Matthew Toeniskoetter
We consider infinite sequences {R_n} of successive local quadratic transforms of a regular local ring. Let S denote the directed union of the sequence of regular local rings R_n. W…
Translates of Polynomials
Shreeram S. Abhyankar, William J. Heinzer, Avinash Sathaye
Let f = 0 be a hypersurface in n-dimensional affine space over a field k. We consider the pencil of hypersurfaces f- c = 0 with c varying over k.
Existence of Dicritical Divisors Revisited
Shreeram S. Abhyankar, William J. Heinzer
We characterize the diacriticals of special pencils. We also initiate higher dimensional dicritical theory.
Rees valuations
Shreeram S Abhyankar, William J Heinzer
We study dicritical divisors and Rees valuations.
Ideal theory of infinite directed unions of local quadratic transforms
W. Heinzer, K. A. Loper, B. Olberding +2
Let be a regular local ring of dimension at least 2. Associated to each valuation domain birationally dominating , there exists a unique sequence of local quadrati…