English

Toward GIT stability of syzygies of canonical curves

Algebraic Geometry 2019-01-24 v2

Abstract

We introduce the problem of GIT stability for syzygy points of canonical curves with a view toward a GIT construction of the canonical model of the moduli space of stable curves. As the first step in this direction, we prove semi-stability of the first syzygy point for a general canonical curve of odd genus.

Keywords

Cite

@article{arxiv.1401.6101,
  title  = {Toward GIT stability of syzygies of canonical curves},
  author = {Anand Deopurkar and Maksym Fedorchuk and David Swinarski},
  journal= {arXiv preprint arXiv:1401.6101},
  year   = {2019}
}

Comments

21 pages. v2: minor typographical and exposition changes; comments are welcome