%0 Journal Article %T Toward GIT stability of syzygies of canonical curves %A Anand Deopurkar %A Maksym Fedorchuk %A David Swinarski %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1401.6101v2