The extremal secant conjecture for curves of arbitrary gonality

DOI10.1112/S0010437X16008198zbMath1429.14022arXiv1512.00212OpenAlexW2963240484WikidataQ123138533 ScholiaQ123138533MaRDI QIDQ5360271

Michael Kemeny

Publication date: 28 September 2017

Full work available at URL: https://arxiv.org/abs/1512.00212

zbMATH Keywords

syzygiescurvesgonalitysecant conjecture

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (2)

Excess dimension for secant loci in symmetric products of curves ⋮ Linear syzygies of curves with prescribed gonality

Cites Work

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• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• Syzygies of curves and the effective cone of \(\overline{\mathcal M}_g\)
• On the projective normality of complete linear series on an algebraic curve
• Some stable vector bundles with reducible theta divisor
• Calculating cohomology groups of moduli spaces of curves via algebraic geometry
• Green's generic syzygy conjecture for curves of even genus lying on a \(K3\) surface
• Remarks on syzygies of \(d\)-gonal curves
• Excess dimension for secant loci in symmetric products of curves
• The generic Green-Lazarsfeld secant conjecture
• Excess Linear Series on an Algebraic Curve
• Koszul divisors on moduli spaces of curves
• New evidence for Green's conjecture on syzygies of canonical curves
• Divisors on and the minimal resolution conjecture for points on canonical curves
• Néron models and compactified Picard schemes over the moduli stack of stable curves
• green's canonical syzygy conjecture for generic curves of odd genus

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