Dimension-Theoretic Characterization of Maximal Irreducible Algebraic Systems of Plane Nodal Curves of a Given Order n and with a Given Number d of Nodes

DOI10.2307/2374074zbMath0516.14023OpenAlexW2326587717MaRDI QIDQ3663438

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Publication date: 1982

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374074

dimension of algebraic systems of plane curves number of singularities of plane curves

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Singularities of curves, local rings (14H20)

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On specialization of curves. II ⋮ On the Severi problem ⋮ On Specializations of Curves. I ⋮ SCROLLS AND HYPERBOLICITY ⋮ On nodal plane curves ⋮ Families of curves with ordinary singular points on regular surfaces ⋮ Families of curves on surfaces ⋮ On Zariski's theorem in positive characteristic ⋮ Rank two vector bundles over regular elliptic surfaces ⋮ Duality of planar and spacial curves: new insight ⋮ On the Severi problem in arbitrary characteristic ⋮ Le problème de Brill-Noether pour les idéaux de ${P}\sp 2$ ⋮ A remark about the rigidity of curves on $K3$ surfaces ⋮ On the situation of nodes of plane curves ⋮ A Note on Severi Varieties of Nodal Curves on Enriques Surfaces ⋮ On the local Severi problem ⋮ Severi varieties and Brill-Noether theory of curves on abelian surfaces ⋮ On the number of moduli of plane sextics with six cusps ⋮ Ideals Associated to Deformations of Singular Plane Curves ⋮ Recovering plane curves from their bitangents ⋮ Genera of curves varying in a family ⋮ Severi dimensions for unicuspidal curves ⋮ SEVERI VARIETIES AND SELF-RATIONAL MAPS OF K3 SURFACES ⋮ La methode d'Horace pour l'interpolation à plusieurs variables

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