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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…
math.AG2007
Semigroups of valuations on local rings
Steven Dale Cutkosky, Bernard Teissier
In this paper the question of which semigroups are realizable as the semigroup of values attained on a Noetherian local ring which is dominated by a valuation is considered. We giv…
math.AC2007
Duality and Tameness
Marc Chardin, Steven Dale Cutkosky, Juergen Herzog +1
We prove a duality theorem for certain graded algebras and show by various examples different kinds of failure of tameness of local cohomology.