On Finite and Nonfinite Generation of Associated Graded Rings of Abhyankar Valuations

DOI10.1007/978-3-319-96827-8_20zbMath1405.13002OpenAlexW2891148413MaRDI QIDQ4613705

Steven Dale Cutkosky

Publication date: 24 January 2019

Published in: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-96827-8_20

Mathematics Subject Classification ID

Graded rings (13A02) Valuations and their generalizations for commutative rings (13A18) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (1)

Towards finite generation of higher rational rank valuations

Cites Work

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• On unique and almost unique factorization of complete ideals. II
• Irrational behavior of algebraic discrete valuations
• Semifactoriality and Muhly's condition (N) in two dimensional local rings
• Un exemple effectif de gradué non noethérien associé à une valuation divisorielle. (An effective example of a non noetherian graduate ring associated to a divisorial valuation)
• Valuations in Function Fields of Surfaces
• On the Valuations Centered in a Local Domain
• Overweight deformations of affine toric varieties and local uniformization
• Valuation semigroups of two‐dimensional local rings

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