Syzygies of 5-gonal Canonical Curves
Abstract
We show that for $5$-gonal curves of odd genus $g\geq 13$ and even genus $g\geq 28$ the $\lceil \frac{g-1}{2}\rceil$-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 e-prints
- Pub Date:
- April 2014
- DOI:
- 10.48550/arXiv.1404.7851
- arXiv:
- arXiv:1404.7851
- Bibcode:
- 2014arXiv1404.7851B
- Keywords:
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- Mathematics - Algebraic Geometry;
- 13D02;
- 14H51
- E-Print:
- 12 pages