New evidence for Green's conjecture on syzygies of canonical curves
Hirschowitz, A. ; Ramanan, S.
Annales scientifiques de l'École Normale Supérieure, Tome 31 (1998), p. 145-152 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{ASENS_1998_4_31_2_145_0,
     author = {Hirschowitz, Andr\'e and Ramanan, S.},
     title = {New evidence for Green's conjecture on syzygies of canonical curves},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {31},
     year = {1998},
     pages = {145-152},
     doi = {10.1016/s0012-9593(98)80013-x},
     mrnumber = {99a:14033},
     zbl = {0923.14017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_1998_4_31_2_145_0}
}

Hirschowitz, A.; Ramanan, S. New evidence for Green's conjecture on syzygies of canonical curves. Annales scientifiques de l'École Normale Supérieure, Tome 31 (1998) pp. 145-152. doi : 10.1016/s0012-9593(98)80013-x. http://gdmltest.u-ga.fr/item/ASENS_1998_4_31_2_145_0/

[A] S. Ju. Arakelov, Families of algebraic curves with fixed degeneracy, (Math. USSR Izvestjia, Vol. 5, 1971, n. 6). | Zbl 0248.14004

[ELMS] D. Eisenbud, H. Lange, G. Martens and F.-O. Schreyer, The Clifford dimension of a projective curve, (Compositio Math. 72, 1989, pp. 173-204). | Numdam | MR 1030141 | MR 91b:14033 | Zbl 0703.14020

[G] M. Green, Koszul cohomology and the geometry of projective varieties, (Journal of Diff. Geometry, 19, 1984, pp. 125-171). | MR 739785 | MR 85e:14022 | Zbl 0559.14008

[GL] M. Green and R. Lazarsfeld, Appendix to [G].

[HM] J. Harris and D. Mumford, On the Kodaira dimension of the moduli space of curves, (Invent. Math., 67, 1982, pp. 23-86). | MR 664324 | MR 83i:14018 | Zbl 0506.14016

[M] D. Mumford, Towards an enumerative geometry of the moduli space of curves, Arithmetic and Geometry II (M. Artin and J. Tate, eds.) Birkhaüser Verlag, Boston-Basel-Berlin, 1983, pp. 271-328. | MR 717614 | MR 85j:14046 | Zbl 0554.14008

[PR] K. Paranjape and S. Ramanan, On the canonical ring of a curve, (Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata, Vol. II, 1988, pp. 503-516). | MR 977775 | MR 90b:14024 | Zbl 0699.14041

[Sch] F. O. Schreyer, Syzygies of canonical curves and special linear series, (Math. Ann., 275, 1986, pp. 105-137). | MR 849058 | MR 87j:14052 | Zbl 0578.14002

[V] C. Voisin, Courbes tétragonales et cohomologie de Koszul, (J. für die r. und ang. Math., 387, 1988, pp. 11-121). | MR 946352 | MR 89e:14036 | Zbl 0652.14012