English

A characterization of bielliptic curves via syzygy schemes

Algebraic Geometry 2024-01-17 v1

Abstract

We prove that a canonical curve CC of genus 11\ge 11 is bielliptic if and only if its second syzygy scheme Syz2(C)\mathrm{Syz}_2(C) is different from CC.

Keywords

Cite

@article{arxiv.1708.08056,
  title  = {A characterization of bielliptic curves via syzygy schemes},
  author = {Marian Aprodu and Andrea Bruno and Edoardo Sernesi},
  journal= {arXiv preprint arXiv:1708.08056},
  year   = {2024}
}