Generating sequences and semigroups of valuations on 2-dimensional normal local rings

DOI10.5802/afst.1642zbMath1452.13005arXiv1804.04704OpenAlexW3105400201MaRDI QIDQ2214722

Arpan Dutta

Publication date: 10 December 2020

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04704

zbMATH Keywords

polynomial ringvaluations

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Valuations and their generalizations for commutative rings (13A18) Semigroup rings, multiplicative semigroups of rings (20M25)

Cites Work

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• A construction for a class of valuations of the field \(k(X_1,\cdots ,X_d,Y)\) with large value group
• Key polynomials and pseudo-convergent sequences
• The role of defect and splitting in finite generation of extensions of associated graded rings along a valuation
• Constructing examples of semigroups of valuations
• Valuations in Function Fields of Surfaces
• On the Valuations Centered in a Local Domain
• Finite generation of extensions of associated graded rings along a valuation
• Valuation theoretic and model theoretic aspects of local uniformization
• Overweight deformations of affine toric varieties and local uniformization
• Valuation semigroups of two‐dimensional local rings
• Ramification of Valuations and Local Rings in Positive Characteristic

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