Green’s conjecture for curves on arbitrary K3 surfaces
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Publication:3008417
DOI10.1112/S0010437X10005099zbMath1221.14039arXiv0911.5310OpenAlexW3104551090WikidataQ122919306 ScholiaQ122919306MaRDI QIDQ3008417
Publication date: 15 June 2011
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.5310
Divisors, linear systems, invertible sheaves (14C20) Special divisors on curves (gonality, Brill-Noether theory) (14H51)
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Cites Work
- Special divisors on curves on a K3 surface
- Linear systems on K3-sections
- Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
- On the projective normality of complete linear series on an algebraic curve
- Brill-Noether-Petri without degenerations
- Green-Lazarsfeld's conjecture for generic curves of large gonality.
- On the vanishing of higher syzygies of curves
- Green's generic syzygy conjecture for curves of even genus lying on a \(K3\) surface
- Remarks on syzygies of \(d\)-gonal curves
- Projective Models of K - 3 Surfaces
- New evidence for Green's conjecture on syzygies of canonical curves
- green's canonical syzygy conjecture for generic curves of odd genus
- ON TWO CONJECTURES FOR CURVES ON K3 SURFACES
