New evidence for Green's conjecture on syzygies of canonical curves

A. Hirschowitz; S. Ramanan

Annales scientifiques de l'École Normale Supérieure (1998)

  • Volume: 31, Issue: 2, page 145-152
  • ISSN: 0012-9593

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Hirschowitz, A., and Ramanan, S.. "New evidence for Green's conjecture on syzygies of canonical curves." Annales scientifiques de l'École Normale Supérieure 31.2 (1998): 145-152. <http://eudml.org/doc/82458>.

@article{Hirschowitz1998,
author = {Hirschowitz, A., Ramanan, S.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Green's conjecture; numbers of syzygies of the generic canonical curve; genus},
language = {eng},
number = {2},
pages = {145-152},
publisher = {Elsevier},
title = {New evidence for Green's conjecture on syzygies of canonical curves},
url = {http://eudml.org/doc/82458},
volume = {31},
year = {1998},
}

TY - JOUR
AU - Hirschowitz, A.
AU - Ramanan, S.
TI - New evidence for Green's conjecture on syzygies of canonical curves
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1998
PB - Elsevier
VL - 31
IS - 2
SP - 145
EP - 152
LA - eng
KW - Green's conjecture; numbers of syzygies of the generic canonical curve; genus
UR - http://eudml.org/doc/82458
ER -

References

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  1. [A] S. Ju. ARAKELOV, Families of algebraic curves with fixed degeneracy, (Math. USSR Izvestjia, Vol. 5, 1971, n. 6). Zbl0248.14004
  2. [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). Zbl0703.14020MR91b:14033
  3. [G] M. GREEN, Koszul cohomology and the geometry of projective varieties, (Journal of Diff. Geometry, 19, 1984, pp. 125-171). Zbl0559.14008MR85e:14022
  4. [GL] M. GREEN and R. LAZARSFELD, Appendix to [G]. 
  5. [HM] J. HARRIS and D. MUMFORD, On the Kodaira dimension of the moduli space of curves, (Invent. Math., 67, 1982, pp. 23-86). Zbl0506.14016MR83i:14018
  6. [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. Zbl0554.14008MR85j:14046
  7. [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). Zbl0699.14041MR90b:14024
  8. [Sch] F. O. SCHREYER, Syzygies of canonical curves and special linear series, (Math. Ann., 275, 1986, pp. 105-137). Zbl0578.14002MR87j:14052
  9. [V] C. VOISIN, Courbes tétragonales et cohomologie de Koszul, (J. für die r. und ang. Math., 387, 1988, pp. 11-121). Zbl0652.14012MR89e:14036

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