A characterization of bielliptic curves via syzygy schemes

DOI10.1016/j.jpaa.2019.02.011zbMath1419.14047arXiv1708.08056OpenAlexW2962798310MaRDI QIDQ2001418

Andrea Bruno, Edoardo Sernesi, Marian Aprodu

Publication date: 3 July 2019

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

Full work available at URL: https://arxiv.org/abs/1708.08056

zbMATH Keywords

curvesClifford indexgonalitysyzygytetragonal curvebielliptic curvesecond syzygy scheme

Mathematics Subject Classification ID

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

Uses Software

• KoszulDivisorOnPic14M8
• ParanjapeRamananQuestion.m2
• RelativeCanonicalResolution

Cites Work

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• Syzygies of 5-gonal canonical curves
• Syzygies of torsion bundles and the geometry of the level \(\ell \) modular variety over \(\overline{\mathcal{M}}_{g}\)
• Resolutions of general canonical curves on rational normal scrolls
• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• Generic syzygy schemes
• Syzygies of canonical curves and special linear series
• The canonical ring of a variety of general type
• Deformations of singularities
• Green's generic syzygy conjecture for curves of even genus lying on a \(K3\) surface
• A remark on a conjecture of Paranjape and Ramanan
• green's canonical syzygy conjecture for generic curves of odd genus