A characterization of bielliptic curves via syzygy schemes

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 $C$.

References in corpus (2)

• Generic Syzygy Schemes
• Resolutions of General Canonical Curves on Rational Normal Scrolls

Cited by in corpus (1)

• Geometric invariant theory of syzygies, with applications to moduli spaces