Geometry of the Severi Variety

DOI10.2307/2001156zbMath0677.14003OpenAlexW4238932537MaRDI QIDQ3832680

Joe Harris, Steven P. Diaz

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001156

zbMATH Keywords

Severi varietiesnodal curvesdivisor classesSeveri problemenumerative geometry of moduli spaces of curvesgenerators of Picard group

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05) Picard groups (14C22) Curves in algebraic geometry (14H99)

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Cites Work

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• On the Severi problem
• Limit linear series: Basic theory
• Existence, decomposition, and limits of certain Weierstrass points
• Ideals Associated to Deformations of Singular Plane Curves