The resolution of paracanonical curves of odd genus

Abstract

The Prym-Green conjecture predicts that the resolution of a general level p paracanonical curve of genus g is natural. Using decomposable ruled surfaces over an elliptic curve, we provide a complete solution (that is, for all levels) to this conjecture in odd genus.

15 pages. Final version, to appear in Geometry & Topology

References in corpus (3)

• The generic Green-Lazarsfeld secant conjecture
• The Prym-Green Conjecture for torsion bundles of high order
• Du Val curves and the pointed Brill-Noether Theorem