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Scrollar syzygies of general canonical curves with genus

Authors:	Hans-Christian Graf v Bothmer

Institution:	Laboratoire J.-A. Dieudonné, Université de Nice, Parc Valrose, 06108 Nice cedex 2, France

Abstract:	We prove that for a general canonical curve $C \subset \mathbb{Z}^{g-1}$ of genus , 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 ${\lceil \frac{g-5}{2} \rceil}$ th (last) syzygies of . Using Mukai varieties we prove this conjecture for genus , and .

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