Smooth projective varieties with extremal or next to extremal curvilinear secant subspaces

DOI10.1090/S0002-9947-04-03594-9zbMath1073.14068MaRDI QIDQ4679382

Sijong Kwak

Publication date: 30 May 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Projective techniques in algebraic geometry (14N05) Low codimension problems in algebraic geometry (14M07)

Related Items (6)

Very ample line bundles on regular surfaces obtained by projection ⋮ On zero-dimensional linear sections of surfaces of maximal sectional regularity ⋮ Buchsbaum varieties with next to sharp bounds on Castelnuovo-Mumford regularity ⋮ Hypersurfaces cutting out a projective variety ⋮ On Singular Varieties Having an Extremal Secant Line ⋮ Multisecant subspaces to smooth projective varieties in arbitrary characteristic

Cites Work

• Linear free resolutions and minimal multiplicity
• On a theorem of Castelnuovo, and the equations defining space curves
• On the adjunction mapping
• Normal generation of vector bundles over a curve
• On odd dimensional projective manifolds with smallest secant varieties
• On the \(k\)-regularity of some projective manifolds
• Normal presentation on elliptic ruled surfaces
• On the regularity of varieties having an extremal secant line
• Courbes de l'espace projectif: Séries linéaires incomplètes et multisécantes.
• Castelnuovo-Mumford regularity bound for smooth threefolds in P5 and extremal examples
• Projective normality of varieties of small degree
• Lectures on Curves on an Algebraic Surface. (AM-59)
• A bound on the Castelnuovo-Mumford regularity for curves.
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