Green-Lazarsfeld's conjecture for generic curves of large gonality;La conjecture de Green-Lazarsfeld pour les courbes génériques de gonalité élevée

Comptes Rendus Mathematique

Volumn 336, Issue 4, 2003, Pages 335-339

  Aprodu, Marian ^a,b   Voisin, Claire ^c  

^a INSTITUT FOURIER   (France)

^b INSTITUTE OF MATHEMATICS   (Romania)

^c UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037768598     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00062-1     Document Type: Article

References (10)

1. M. Aprodu, On the vanishing of higher syzygies of curves, Math. Z. 241 (2002) 1-15.
2. M. Boratyńsky, S. Greco, Hilbert functions and Betti numbers in a flat family, Ann. Mat. Pura Appl. (4) 142 (1985) 277-292.
3. S. Ehbauer, Syzygies of points in projective space and applications, in: Orecchia, Ferruccio, et al. (Eds.), Zero-Dimensional Schemes, Proceedings of the International Conference Held in Ravello, Italy, June 8-13, 1992, de Gruyter, Berlin, 1994, pp. 145-170.
4. W. Fulton, Hurwitz schemes and irreducibility of moduli of algebraic curves, Ann. of Math. 90 (1969) 541-575.
5. M. Green, Koszul cohomology and the geometry of projective varieties, J. Differential Geom. 19 (1984) 125-171. With an Appendix by M. Green and R. Lazarsfeld.
6. M. Green, Koszul cohomology and the geometry of projective varieties. II, J. Differential Geom. 20 (1984) 279-289.
7. M. Green, R. Lazarsfeld, On the projective normality of complete linear series on an algebraic curve, Invent. Math. 83 (1986) 73-90.
8. M. Teixidor i Bigas, Green's conjecture for the generic r-gonal curve of genus g ≥ 3r - 7, Duke Math. J. 111 (2002) 363-404.
9. C. Voisin, Green's generic syzygy conjecture for curves of even genus lying on a K3 surface, J. European Math. Soc. 4 (2002) 363-404.
10. C. Voisin, Green's canonical syzygy conjecture for generic curves of odd genus, Preprint, math.AG/0301351.