Generators for the ideal of an integral curve lying on a smooth quartic surface

DOI10.1016/0022-4049(91)90140-WzbMath0764.14016MaRDI QIDQ1183380

Salvatore Giuffrida, Renato Maggioni

Publication date: 28 June 1992

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

zbMATH Keywords

Picard groupsliaisoncurves on a surfaceminimal generating set of the homogeneous ideal of integral space curveMori quartic

Mathematics Subject Classification ID

Plane and space curves (14H50) Picard groups (14C22) Relevant commutative algebra (14A05)

Related Items (1)

Components of the Hilbert scheme of space curves on low-degree smooth surfaces

Cites Work

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• The Hilbert function of curves on certain smooth quartic surfaces
• The genus of space curves
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• On degrees and genera of curves on smooth quartic surfaces in P³
• On the Resolution of a Curve Lying on a Smooth Cubic Surface in ℙ 3
• Projective Models of K - 3 Surfaces
• On the rao module of a curve lying on a smooth cubic surface In P³

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