Olga Kashcheyeva

activity

20052024

collaborators

6 papers

math.AC2024

Generating sequences of rank 1 valuations

Olga Kashcheyeva

We consider a rank 1 valuation $ν$ centered in a regular 3-dimensional local ring $R$ . We assume that the residue field $k$ of $ν$ is contained in $R$ . An algorithm for constructin…

math.AC2015

Constructing examples of semigroups of valuations

Olga Kashcheyeva

We work with rational rank 1 valuations centered in regular local rings. Given an algebraic function field $K$ of transcendence degree 3 over $k$ , a regular local ring $R$ with $QF…

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 $S_{R} (ν)$ of positive values of a rank 1 valuation dominating a Noetherian local ring $R$ . 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 $k$ is an arbitrary field. Consider the field $k ((x_{1}, ..., x_{n}))$ , which is the quotient field of the ring $k [[x_{1}, ..., x_{n}]]$ of formal power series in the variables $x…

math.AC2005

Toroidalization of generating sequences in dimension two function fields

Laura Ghezzi, Huy Tai Ha, Olga Kashcheyeva

Let k be an algebraically closed field of characteristic 0 and let K*/K be a finite extension of algebraic function fields of transcendence degree 2 over k. Let v* be a k-valuation…