Singularities and syzygies of secant varieties of nonsingular projective curves

DOI10.1007/s00222-020-00976-5zbMath1452.14028arXiv2005.10906OpenAlexW3106136622MaRDI QIDQ2208428

Jinhyung Park, Wenbo Niu, Lawrence Ein

Publication date: 2 November 2020

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10906

zbMATH Keywords

syzygiescurvessecant variety

Mathematics Subject Classification ID

Plane and space curves (14H50) Syzygies, resolutions, complexes and commutative rings (13D02) Singularities of curves, local rings (14H20) Secant varieties, tensor rank, varieties of sums of powers (14N07)

Related Items (8)

A Castelnuovo-Mumford regularity bound for threefolds with rational singularities ⋮ Hermite Reciprocity and Schwarzenberger Bundles ⋮ Asymptotic syzygies of secant varieties of curves ⋮ A matryoshka structure of higher secant varieties and the generalized Bronowski's conjecture ⋮ A remark on global sections of secant bundles of curves ⋮ Asymptotic vanishing of syzygies of algebraic varieties ⋮ Syzygies of curves in products of projective spaces ⋮ On blowup of secant varieties of curves

Cites Work

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• Asymptotic syzygies of algebraic varieties
• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• The gonality conjecture on syzygies of algebraic curves of large degree
• On the normality of secant varieties
• The uniform position principle for curves in characteristic p
• Moduli of rank-2 vector bundles, theta divisors, and the geometry of curves in projective space
• Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension
• Geometric syzygies of elliptic normal curves and their secant varieties
• On canonical bundle formulas and subadjunctions
• Syzygies of the secant variety of a curve
• On Shokurov's rational connectedness conjecture
• Regularity and normality of the secant variety to a projective curve
• Equations and syzygies of the first secant variety to a smooth curve
• Equations Defining Secant Varieties: Geometry and Computation
• Restricting linear syzygies: algebra and geometry
• Singularities of Secant Varieties
• Secant varieties and successive minima
• Introduction
• Sections de la puissance tensorielle du fibré tautologique sur le schéma de Hilbert des points d'une surface

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