Scrollar syzygies of general canonical curves with genus $\le 8$
Scrollar syzygies of general canonical curves with genus $\le 8$
We prove that for a general canonical curve $C \subset \mathbb {Z}^{g-1}$ of genus $g$, the space of ${\lceil \frac {g-5}{2}\rceil }$th (last) scrollar syzygies is isomorphic to the Brill-Noether locus $C^1_{\lceil \frac {g+2}{2} \rceil }$. Schreyer has conjectured that these scrollar syzygies span the space of all ${\lceil \frac …