Browsing Department of Mathematics (MU) by Thesis Advisor "Cutkosky, Steven Dale"
Now showing items 13 of 3

Algebraic resolution of formal ideals along a valuation
(University of MissouriColumbia, 2008)Let X be a possibly singular complete algebraic variety, defined over a field [kappa] of characteristic zero. X is nonsingular at [rho] [element of] X if OX,[rho] is a regular local ring. The problem of resolution of ... 
Irrational behavior of algebraic discrete valuations
([University of MissouriColumbia], 2014)We construct a family of algebraic discrete rank 1 valuations whose associated Hilbert function cannot be written as the sum of a quasipolynomial and a bounded function. We further show that the set of multiplicities ... 
Toroidalization of locally toroidal morphisms
(University of MissouriColumbia, 2008)Let X and Y be nonsingular varieties over an algebraically closed field [kappa] of characteristic zero. A toroidal structure on X is a simple normal crossing divisor DX on X. Suppose that DX and DY are toroidal structures ...