Counting singular plane curves via Hilbert schemes

DOI10.1016/S0001-8708(02)00026-9zbMath1029.14019arXivmath/0011214OpenAlexW2075404779MaRDI QIDQ1413191

Heather M. Russell

Publication date: 16 November 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0011214

zbMATH Keywords

punctual Hilbert schemetype of singularity

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Parametrization (Chow and Hilbert schemes) (14C05) Singularities of curves, local rings (14H20)

Related Items (3)

Alignment correspondences ⋮ Equivariant degenerations of plane curve orbits ⋮ Enriques diagrams, arbitrarily near points, and Hilbert schemes

Cites Work

• Evidence for a conjecture of Ellingsrud and Strømme on the Chow ring of \(Hilb_ d(P^ 2)\)
• Alignment correspondences
• The enumeration of simultaneous higher-order contacts between plane curves
• Unnamed Item

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