Semigroups of valuations on local rings

Mathematics – Algebraic Geometry

Scientific paper

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19 pages

Scientific paper

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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