On the existence of plane curves with imposed multiple points

DOI10.1016/S0022-4049(99)00116-4zbMath0976.14018MaRDI QIDQ5929288

Joaquim Roé

Publication date: 27 December 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

multiplicityplane curvesprescribed singularities

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Plane and space curves (14H50) Divisors, linear systems, invertible sheaves (14C20) Singularities of curves, local rings (14H20)

Related Items

An algorithm to bound the regularity and nonemptiness of linear systems in \(\mathbb P^n\) ⋮ Cyclic coverings and Seshadri constants on smooth surfaces ⋮ On submaximal plane curves. ⋮ Enriques diagrams, arbitrarily near points, and Hilbert schemes ⋮ Conditions imposed by tacnodes and cusps ⋮ On Nagata's conjecture ⋮ On the finite generation of the effective monoid of rational surfaces ⋮ Curves having one place at infinity and linear systems on rational surfaces ⋮ Classifying Hilbert functions of fat point subschemes in \(\mathbb{P}^2\) ⋮ Unnamed Item ⋮ On the universal scheme of r-relative clusters of a family

Cites Work

• Infinitely near imposed singularities and singularities of polar curves
• Multiple-point formulas. I: Iteration
• Plane curves of minimal degree with prescribed singularities
• Curves in \(P^ 2\) and symplectic packings
• Free resolutions of fat point ideals on \(\mathbb{P}^2\)
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• On the 14-th Problem of Hilbert
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item