On the regularity of varieties having an extremal secant line

DOI10.1515/crll.2002.032zbMath1060.14076arXivmath/0007074OpenAlexW2963735046MaRDI QIDQ2782021

Marie-Amélie Bertin

Publication date: 11 April 2002

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0007074

zbMATH Keywords

Castelnuovo-Mumford regularityelliptic normal curvesmooth rational curves

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Syzygies, resolutions, complexes and commutative rings (13D02) Projective techniques in algebraic geometry (14N05) (n)-folds ((n>4)) (14J40)

Related Items (12)

Regularity Bounds by Projection ⋮ Castelnuovo-Mumford regularity of projected Roth varieties ⋮ Projective varieties of maximal sectional regularity ⋮ A Castelnuovo-Mumford regularity bound for scrolls ⋮ Projective curves with maximal regularity and applications to syzygies and surfaces ⋮ On surfaces of maximal sectional regularity ⋮ Hypersurfaces cutting out a projective variety ⋮ On the regularity of varieties having an extremal secant line ⋮ Smooth projective varieties with extremal or next to extremal curvilinear secant subspaces ⋮ On Singular Varieties Having an Extremal Secant Line ⋮ Multisecant subspaces to smooth projective varieties in arbitrary characteristic ⋮ Nonbirational centers of linear projections of scrolls over curves

Cites Work

• On the regularity of varieties having an extremal secant line
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