The syzygies of a generic canonical curve are expected to be as
simple as possible for p≤(g−3)/2. We prove this result here for
p≤(g−2)/3 only. The proof is carried out by considering
infinitesimal deformations near a hyperelliptic curve.
Publié le : 2002-02-01
Classification:
14H51,
14D15,
14D20
@article{1087575039,
author = {Teixidor I Bigas, Montserrat},
title = {Green's conjecture for the generic r-gonal curve
of genus g>=3r-7},
journal = {Duke Math. J.},
volume = {115},
number = {1},
year = {2002},
pages = { 195-222},
language = {en},
url = {http://dml.mathdoc.fr/item/1087575039}
}
Teixidor I Bigas, Montserrat. Green's conjecture for the generic r-gonal curve
of genus g≥3r−7. Duke Math. J., Tome 115 (2002) no. 1, pp. 195-222. http://gdmltest.u-ga.fr/item/1087575039/