Syzygies of 5gonal Canonical Curves
Abstract
We show that for $5$gonal curves of odd genus $g\geq 13$ and even genus $g\geq 28$ the $\lceil \frac{g1}{2}\rceil$th syzygy module of the curve is not determined by the syzygies of the scroll swept out by the special pencil of degree $5$.
 Publication:

arXiv eprints
 Pub Date:
 April 2014
 DOI:
 10.48550/arXiv.1404.7851
 arXiv:
 arXiv:1404.7851
 Bibcode:
 2014arXiv1404.7851B
 Keywords:

 Mathematics  Algebraic Geometry;
 13D02;
 14H51
 EPrint:
 12 pages