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arXiv · 1708.08056

A characterization of bielliptic curves via syzygy schemes

Marian Aprodu·Andrea Bruno·Edoardo Sernesi
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Abstract

We prove that a canonical curve $C$ of genus $\ge 11$ is bielliptic if and only if its second syzygy scheme $\mathrm{Syz}_2(C)$ is different from $C$.

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Marian Aprodu, Andrea Bruno, Edoardo Sernesi. 2017-08-27. A characterization of bielliptic curves via syzygy schemes. https://doi.org/10.1016/j.jpaa.2019.02.011

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