Regularity and normality of the secant variety to a projective curve

DOI10.1016/j.jalgebra.2007.10.032zbMath1132.14027arXivmath/0610081OpenAlexW2135491657MaRDI QIDQ2475079

Peter Vermeire

Publication date: 10 March 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610081

zbMATH Keywords

linearly normal curveCastelnuovo-Mumford's regularitynon-special embeddingpower of the ideal sheaf

Mathematics Subject Classification ID

Plane and space curves (14H50) Projective techniques in algebraic geometry (14N05)

Related Items (6)

The secant line variety to the varieties of reducible plane curves ⋮ Asymptotic syzygies of secant varieties of curves ⋮ Secant varieties of the varieties of reducible hypersurfaces in \(\mathbb{P}^n\) ⋮ On the normality of secant varieties ⋮ Singularities and syzygies of secant varieties of nonsingular projective curves ⋮ Equations and syzygies of the first secant variety to a smooth curve

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• Moduli of rank-2 vector bundles, theta divisors, and the geometry of curves in projective space
• Geometric syzygies of elliptic normal curves and their secant varieties
• Secant varieties and birational geometry
• Restricting linear syzygies: algebra and geometry
• Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties
• On Cohomology of the Square of an Ideal Sheaf

This page was built for publication: Regularity and normality of the secant variety to a projective curve