A characterization of bielliptic curves via syzygy schemes

Aprodu, Marian; Bruno, Andrea; Sernesi, Edoardo

doi:10.1016/j.jpaa.2019.02.011

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A characterization of bielliptic curves via syzygy schemes

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Aprodu, Marian
Max Planck Institute for Mathematics, Max Planck Society;

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Sernesi, Edoardo
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1016/j.jpaa.2019.02.011
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arXiv:1708.08056.pdf
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Aprodu, M., Bruno, A., & Sernesi, E. (2019). A characterization of bielliptic curves via syzygy schemes. Journal of Pure and Applied Algebra, 223(11), 4689-4700. doi:10.1016/j.jpaa.2019.02.011.

Cite as: https://hdl.handle.net/21.11116/0000-0006-95A1-B

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 $C$.