Remarks on the postulation of zero-dimensional subschemes of projective space

DOI10.1007/BF01442880zbMath0645.14024MaRDI QIDQ1103018

Silvio Greco

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/164557

zbMATH Keywords

linear systemspostulationintegral projective curvevanishing of first cohomology groupzero dimensional subscheme

Mathematics Subject Classification ID

Classical real and complex (co)homology in algebraic geometry (14F25) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05) Curves in algebraic geometry (14H99)

Related Items

An algebraic approach to the regularity index of fat points in \(P^ n\), On the curves through a general point of a smooth surface in \(\mathbb{P}^ 3\), A Sharp Bound for the Regularity Index of Fat Points in General Position, Geometry of points satisfying Cayley-Bacharach conditions and applications, Linear systems of plane curves through fixed fat points of \(\mathbb{P}^ 2\), Families of nodal curves on projective threefolds and their regularity via postulation of nodes, On the nodes of a linear projection of a space curve: A uniqueness problem, On curvilinear subschemes of \(\mathbb{P}^ 2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Théoremes de Bertini et applications
• On a theorem of Castelnuovo, and the equations defining space curves
• Stable vector bundles of rank 2 on \(P^ 3\)
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• 1-dimensional Cohen-Macaulay rings
• Sui teoremi di Bezout, Jacobi e Reiss
• Points in Generic Position and Conductors of Curves with Ordinary Singularities