Valuation semigroups of two‐dimensional local rings

DOI10.1112/plms/pdt023zbMath1294.13004arXiv1105.1448OpenAlexW1996201617MaRDI QIDQ5404130

Pham An Vinh, Steven Dale Cutkosky

Publication date: 21 March 2014

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1448

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Valuations and their generalizations for commutative rings (13A18)

Related Items (15)

Constructing examples of semigroups of valuations ⋮ The role of defect and splitting in finite generation of extensions of associated graded rings along a valuation ⋮ Irrational behavior of algebraic discrete valuations ⋮ Dependent Artin-Schreier defect extensions and strong monomialization ⋮ Erratic birational behavior of mappings in positive characteristic ⋮ A generalisation of the Abhyankar Jung theorem to associated graded rings of valuations ⋮ On Finite and Nonfinite Generation of Associated Graded Rings of Abhyankar Valuations ⋮ Generating sequences and semigroups of valuations on 2-dimensional normal local rings ⋮ Extensions of valuations to the Henselization and completion ⋮ Ramification of local rings along valuations ⋮ Ramification of Valuations and Local Rings in Positive Characteristic ⋮ Minimal pairs, truncations and diskoids ⋮ Discrete equivalence of non-positive at infinity plane valuations ⋮ Extensions of valuations to the Henselization and completion of a local ring ⋮ Counterexamples to local monomialization in positive characteristic

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