Generic syzygy schemes

DOI10.1016/j.jpaa.2006.03.021zbMath1118.13013arXivmath/0403432OpenAlexW2082533720MaRDI QIDQ860423

Hans-Christian Graf von Bothmer

Publication date: 9 January 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403432

zbMATH Keywords

minimal free resolutionsyzygyrank 2 vector bundlesyzygy scheme

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Syzygies, resolutions, complexes and commutative rings (13D02) Vector bundles on curves and their moduli (14H60) Divisors, linear systems, invertible sheaves (14C20)

Related Items (5)

Universal secant bundles and syzygies of canonical curves ⋮ Syzygies of torsion bundles and the geometry of the level \(\ell \) modular variety over \(\overline{\mathcal{M}}_{g}\) ⋮ Computational aspects of gonal maps and radical parametrization of curves ⋮ Moduli of lattice polarized \(K3\) surfaces via relative canonical resolutions ⋮ A characterization of bielliptic curves via syzygy schemes

Uses Software

• ParanjapeRamananQuestion.m2

Cites Work

• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• The canonical ring of a variety of general type
• Green's generic syzygy conjecture for curves of even genus lying on a \(K3\) surface
• A standard basis approach to syzygies of canonical curves.
• green's canonical syzygy conjecture for generic curves of odd genus
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