The Combinatorics of Plane Curve Singularities

DOI10.1007/978-3-030-53061-7_1zbMath1482.14034arXiv1909.06974OpenAlexW3168814124MaRDI QIDQ5014451

Patrick Popescu-Pampu, Pedro Daniel González Pérez, Evelia Rosa García Barroso

Publication date: 2 December 2021

Published in: Handbook of Geometry and Topology of Singularities I (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.06974

zbMATH Keywords

plane curve singularitiesEnriques diagramNewton-Puiseux seriesEggers-Wall treeembedded topological typeNewton polygons.

Mathematics Subject Classification ID

Combinatorial aspects of tropical varieties (14T15) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Complex surface and hypersurface singularities (32S25) Singularities of curves, local rings (14H20)

Related Items (4)

Permutations encoding the local shape of level curves of real polynomials via generic projections ⋮ Resolving singularities of curves with one toric morphism ⋮ Multiplier ideals of plane curve singularities via Newton polygons ⋮ Quantum continuants, quantum rotundus and triangulations of annuli

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