Green-Lazarsfeld gonality conjecture for a generic curve of odd genus

International Mathematics Research Notices

Volumn , Issue 63, 2004, Pages 3409-3416

  Aprodu, Marian ^a,b  

^a INSTITUTE OF MATHEMATICS   (Romania)

^b INSTITUT FOURIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10244256454     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s107379280414035x     Document Type: Article

References (12)

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2. M. Aprodu and J. Nagel, A Lefschetz type result for Koszul cohomology, Manuscripta Math. 114 (2004), 423-430.
3. M. Aprodu and C. Voisin, Green-Lazarsfeld's conjecture for generic curves of large gonality, C. R. Math. Acad. Sci. Paris 336 (2003), no. 4, 335-339.
4. M. Boratyński and S. Greco, Hilbert functions and Betti numbers in a flat family, Ann. Mat. Pura Appl. (4) 142 (1985), 277-292.
5. M. Green, Koszul cohomology and the geometry of projective varieties, J. Differential Geom. 19 (1984), no. 1, 125-171, with Appendix by M. Green and R. Lazarsfeld.
6. _, Koszul cohomology and the geometry of projective varieties. II, J. Differential Geom. 20 (1984), no. 1, 279-289.
7. M. Green and R. Lazarsfeld, On the projective normality of complete linear series on an algebraic curve, Invent. Math. 83 (1986), no. 1, 73-90.
8. _, Special divisors on curves on a K3 surface, Invent. Math. 89 (1987), no. 2, 357-370.
9. A. Hirschowitz and S. Ramanan, New evidence for Green's conjecture on syzygies of canonical curves, Ann. Sci. École Norm. Sup. (4) 31 (1998), no. 2, 145-152.
10. K. Oguiso, Two remarks on Calabi-Yau Moishezon threefolds, J. reine angew. Math. 452 (1994), 153-161.
11. G. Voisin, Green's generic syzygy conjecture for curves of even genus lying on a K3 surface, J. Eur. Math. Soc. (JEMS) 4 (2002), no. 4, 363-404.
12. _, Green's canonical syzygy conjecture for generic curves of odd genus, to appear in Compositio Math.