12 citations · 55 across the 29 of their papers we have counts for
4 papers · 1 filter
Essentially finite generation of valuation rings in terms of classical invariants
Steven Dale Cutkosky, Josnei Novacoski
The main goal of this paper is to study some properties of an extension of valuations from classical invariants. More specifically, we consider a valued field and an extens…
Mixed multiplicities of Divisorial Filtrations
Steven Dale Cutkosky
Suppose that is an excellent local domain with maximal ideal . The theory of multiplicities and mixed multiplicities of -primary ideals extends to (possibly non Noeth…
Positivity of Mixed Multiplicities of Filtrations
Steven Dale Cutkosky, Hema Srinivasan, Jugal Verma
The theory of mixed multiplicities of filtrations by -primary ideals in a ring is introduced in a recent paper by Cutkosky, Sarkar and Srinivasan. In this paper, we consider the…
On the construction of valuations and generating sequences on hypersurface singularities
Steven Dale Cutkosky, Steven Cutkosky, Hussein Mourtada +1
Suppose that (K, ) is a valued field, f (z) K[z] is a unitary and irreducible polynomial and (L, ) is an extension of valued fields, where L = K[z]/(f (z)). Further sup…