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

20Citations
Citations of this article
2Readers
Mendeley users who have this article in their library.
Get full text

Abstract

What we call the generic Green's conjecture predicts what are the numbers of syzygies of the generic canonical curve of genus g. Green and Lazarsfeld have observed that curves with nonmaximal Clifford index have extra syzygies and we call specific Green's conjecture the stronger prediction that the curves which have the numbers of syzygies expected for generic curves are precisely those with maximal Clifford index. In this note, we prove that, as stated above, the generic and specific Green's conjectures for canonical curves are equivalent at least when g is odd. © Elsevier, Paris.

Cite

CITATION STYLE

APA

Hirschowitz, A., & Ramanan, S. (1998). New evidence for Green’s conjecture on syzygies of canonical curves. Annales Scientifiques de l’Ecole Normale Superieure. Elsevier Masson SAS. https://doi.org/10.1016/S0012-9593(98)80013-X

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free