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arXiv · 0708.0019

Semigroups of valuations on local rings

Steven Dale Cutkosky·Bernard Teissier
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Abstract

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 give some striking examples, indicating that there may be no constraints on the semigroup beyond those known classically.

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Steven Dale Cutkosky, Bernard Teissier. 2007-07-31. Semigroups of valuations on local rings. https://arxiv.org/abs/0708.0019

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