New asymptotics for the existence of plane curves with prescribed singularities

DOI10.1080/00927879908826626zbMath0947.14014OpenAlexW2064902044MaRDI QIDQ4253128

Christoph Lossen

Publication date: 8 November 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826626

zbMATH Keywords

plane curvesprescribed singularitiesMilnor numbertopological type of singularity

Mathematics Subject Classification ID

Singularities of curves, local rings (14H20)

Related Items (5)

Existence of Hypersurfaces with Prescribed Simple Singularities ⋮ Conditions imposed by tacnodes and cusps ⋮ Existence of curves with prescribed topological singularities ⋮ Analytic order of singular and critical points ⋮ Computer algebra and algebraic geometry -- achievements and perspectives

Cites Work

• On adjacencies of singularities \(A_ k\) to points of the \(\mu =const\) stratum of a singularity
• Real plane algebraic curves with prescribed singularities
• Equianalytic and equisingular families of curves on surfaces
• Constructing new ample divisors out of old ones
• Une conjecture pour la cohomologie des diviseurs sur les surfaces rationelles génériques.
• Geometry of families of nodal curves on the blown-up projective plane
• Ample line bundles on smooth surfaces.
• Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves
• Polynomial Ideals Defined by Infinitely Near Base Points
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