Toward GIT stability of syzygies of canonical curves

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.

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

References in corpus (2)

• Rohlin Flows on Amalgamated Free Product Factors
• Finite Hilbert stability of (bi)canonical curves

Cited by in corpus (1)

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