Arf Closure Relative to a Divisorial Valuation and Transversal Curves

DOI10.2307/2374934zbMath0827.13002OpenAlexW2009341567MaRDI QIDQ4292700

Julio Castellanos, Antonio Campillo

Publication date: 16 June 1994

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374934

zbMATH Keywords

resolution of singularitiesbirational morphismascending chain conditionassociated graded ringsArf closurealgebroid curvesArf subrings of a discrete valuation ring

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Commutative Noetherian rings and modules (13E05) Valuations and their generalizations for commutative rings (13A18) Singularities of curves, local rings (14H20)

Related Items (3)

A fast algorithm for constructing Arf closure and a conjecture ⋮ On the geometry of the sequence of infinitely near points ⋮ Antonio Campillo

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