On the minimal free resolution of general embeddings of curves

Edoardo Ballico

Vol. 172 (1996), No. 2, 315–319

DOI: 10.2140/pjm.1996.172.315

Abstract

Here we study the minimal free resolution of general embeddings in Pⁿ of genus g curves with general moduli. We prove that if p is an integer with, roughly, g ≤ n²∕(2p + 2), then the embedding has the property N_p, i.e., the first p pieces of the resolution are as simple as possible.

Mathematical Subject Classification 2000

Primary: 14H45

Secondary: 13D02, 14H10

Milestones

Received: 17 March 1993

Published: 1 February 1996