3 papers
math.AC2008
Growth of rank 1 valuation semigroups
Steven Dale Cutkosky, Kia Dalili, Olga Kashcheyeva
We consider the question of which semigroups can occur as the semigroup of positive values of a rank 1 valuation dominating a Noetherian local ring . We give a number o…
math.AC2007
Toroidalization of generating sequences in dimension two function fields of positive characteristic
Laura Ghezzi, Olga Kashcheyeva
We give a characteristic free proof of the main result of our previous paper (math.AC/0509697) concerning toroidalization of generating sequences of valuations in dimension two fun…
math.AC2007
Algebraic series and valuation rings over nonclosed fields
Steven Dale Cutkosky, Olga Kashcheyeva
Suppose that is an arbitrary field. Consider the field , which is the quotient field of the ring of formal power series in the variables $x…