12 citations · 55 across the 30 of their papers we have counts for
4 papers · 1 filter
Failure of tameness for local cohomology
Steven Dale Cutkosky, Juergen Herzog
We give an example that shows that not all local cohomology modules are tame in the sense of Brodmann and Hellus.
Resolution of Singularities for 3-folds in positive characteristic
Steven Dale Cutkosky
In this paper a concise, complete proof of resolution of singularities of 3-folds in positive characteristic (>5) is given. The first proof of this theorem was given by Abhyankar i…
Factorizations of birational extensions of local rings
Steven Dale Cutkosky, Hema Srinivasan
We give a proof of local strong factorization of a birational extension of regular local rings (of equicharacteristic zero) along a valuation of rank 1 and maximal rational rank. T…
Strong Toroidalization of Dominant Morphisms of 3-folds
Steven Dale Cutkosky
Suppose that is a dominant morphism of 3-folds over an algebraically closed field of characteristic zero. We prove that there exist sequences of blow ups of points and n…