On resolution complexity of plane curves

DOI10.2996/kmj/1138043350zbMath0844.14010OpenAlexW2067881513MaRDI QIDQ1902047

Lê Dũng Tráng, Mutsuo Oka

Publication date: 8 September 1996

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043350

zbMATH Keywords

resolution complexityisolated plane curve singular pointPuiseux pairtoroidal blowing-ups

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of curves, local rings (14H20)

Related Items (11)

Fibonacci Numbers and Self-Dual Lattice Structures for Plane Branches ⋮ Resolution of space curves complexity ⋮ Topological zeta functions of complex plane curve singularities ⋮ Resolving singularities of curves with one toric morphism ⋮ Multiplier ideals of plane curve singularities via Newton polygons ⋮ The Newton tree: geometric interpretation and applications to the motivic zeta function and the log canonical threshold ⋮ Toric embedded resolutions of quasi-ordinary hypersurface singularities ⋮ Zeta function of degenerate plane curve singularity ⋮ Motivic Milnor fibers of plane curve singularities ⋮ Approximate roots, toric resolutions and deformations of a plane branch ⋮ The Combinatorics of Plane Curve Singularities

Cites Work

• On the resolution of two-dimensional singularities
• Zeta-function of monodromy and Newton's diagram
• On the homotopy types of hypersurfaces defined by weighted homogeneous polynomials
• Courbes polaires et topologie des courbes planes
• Singular Points of Complex Hypersurfaces. (AM-61)
• Normal Two-Dimensional Singularities. (AM-71)
• Unnamed Item
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