On set theoretic complete intersections in \({\mathbb{P}}^ 3\)

DOI10.1007/BF01442680zbMath0661.14027OpenAlexW4251318678MaRDI QIDQ1112900

David B. Jaffe

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164593

zbMATH Keywords

space curvedegreegenusset theoretic complete intersection

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Complete intersections (14M10) Projective techniques in algebraic geometry (14N05)

Related Items (8)

On the equations defining monomial curves ⋮ Self-linked curves and normal bundle ⋮ Smooth curves on a cone which pass through its vertex ⋮ Local geometry of smooth curves passing through rational double points ⋮ Contact curves on cones ⋮ Set-theoretic generators of rational space curves ⋮ On set theoretic complete intersections in \({\mathbb{P}}^ 3_ k\) ⋮ Divisor class groups of singular surfaces

Cites Work

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• Fifteen characterizations of rational double points and simple critical points
• No rational nonsingular quartic curve \({\mathcal C}_ 4\subset {\mathbb{P}}^ 3\) can be set-theoretic complete intersection on a cubic surface
• Elementary transformations of Dynkin graphs and singularities on quartic surfaces
• Space curves which are the intersection of a cone with another surface
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Complete Intersections in Characteristic p > 0
• On Isolated Rational Singularities of Surfaces

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