Linear syzygies and line bundles on an algebraic curve

DOI10.1016/0021-8693(89)90296-2zbMath0708.14002OpenAlexW1985225411MaRDI QIDQ920154

Michael Stillman, Jee Heub Koh

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90296-2

zbMATH Keywords

Koszul cohomologysyzygiesnormally generated line bundles

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Syzygies, resolutions, complexes and commutative rings (13D02) Divisors, linear systems, invertible sheaves (14C20) Sheaves in algebraic geometry (14F06)

Related Items (2)

The generic Green-Lazarsfeld secant conjecture ⋮ Some linear syzygy conjectures

Cites Work

• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• Syzygies of canonical curves and special linear series
• On the projective normality of complete linear series on an algebraic curve
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Determinantal Equations for Curves of High Degree
• Linear Sections of Determinantal Varieties
• Varieties Defined by Quadratic Equations

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