Newton trees for ideals in two variables and applications

DOI10.1112/plms/pdt047zbMath1296.13010arXiv1201.0467OpenAlexW3125904549MaRDI QIDQ5418004

Willem Veys, Pierrette Cassou-Noguès

Publication date: 23 May 2014

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

Full work available at URL: https://arxiv.org/abs/1201.0467

zbMATH Keywords

multiplicityNewton polygonintegral closureRees valuationNewton algorithmNewton mapNewton processdicritical.Newton tree

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Integral closure of commutative rings and ideals (13B22) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Structure, classification theorems for modules and ideals in commutative rings (13C05) Formal power series rings (13F25)

Related Items (7)

Łojasiewicz exponents and Farey sequences ⋮ The Newton tree: geometric interpretation and applications to the motivic zeta function and the log canonical threshold ⋮ Newton Transformations and the Motivic Milnor Fiber of a Plane Curve ⋮ Newton transformations and motivic invariants at infinity of plane curves ⋮ Effective computation of base points of ideals in two-dimensional local rings ⋮ Newton process and semigroups of irreducible quasi-ordinary power series ⋮ The Combinatorics of Plane Curve Singularities

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