Saturation for valuations on two-dimensional regular local rings

DOI10.1007/PL00004811zbMath0967.13019OpenAlexW2066649196MaRDI QIDQ1579097

Ana Núñez, Félix Delgado de la Mata, Carlos Galindo Pastor

Publication date: 4 December 2000

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004811

zbMATH Keywords

valuationsregular local ringsaturationcharacteristic sequencePuiseux exponentsmaximal contact values

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Regular local rings (13H05)

Related Items (16)

Proximity relations for real rank one valuations dominating a local regular ring ⋮ Evaluation codes and plane valuations ⋮ Computing lattice ideals of unions of monomial curves ⋮ Arc valuations on smooth varieties ⋮ Valuations dominating regular local rings and proximity relations ⋮ Minimal plane valuations ⋮ Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces ⋮ The cone of curves and the Cox ring of rational surfaces given by divisorial valuations ⋮ Non-positive and negative at infinity divisorial valuations of Hirzebruch surfaces ⋮ Generating sequences and Poincaré series for a finite set of plane divisorial valuations ⋮ Valuations with preassigned proximity relations ⋮ Newton-Okounkov bodies of exceptional curve valuations ⋮ Improved evaluation codes defined by plane valuations ⋮ The Poincaré series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface ⋮ POINCARÉ SERIES OF COLLECTIONS OF PLANE VALUATIONS ⋮ Discrete equivalence of non-positive at infinity plane valuations

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