English

Semigroups of valuations on local rings

Algebraic Geometry 2007-08-02 v1 Commutative Algebra

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.

Keywords

Cite

@article{arxiv.0708.0019,
  title  = {Semigroups of valuations on local rings},
  author = {Steven Dale Cutkosky and Bernard Teissier},
  journal= {arXiv preprint arXiv:0708.0019},
  year   = {2007}
}

Comments

19 pages

R2 v1 2026-06-21T09:03:39.056Z