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The resolution of paracanonical curves of odd genus

Gavril Farkas and Michael Kemeny
Geometry & Topology 22 (2018) 4235–4257
DOI: 10.2140/gt.2018.22.4235
Abstract

We prove the Prym–Green conjecture on minimal free resolutions of paracanonical curves of odd genus. The proof proceeds via curves lying on ruled surfaces over an elliptic curve.

Keywords
syzygy, paracanonical curve, ruled elliptic surface
Mathematical Subject Classification 2010
Primary: 14H10
References
Publication
Received: 7 September 2017
Revised: 23 February 2018
Accepted: 3 April 2018
Published: 6 December 2018
Proposed: Dan Abramovich
Seconded: Jim Bryan, Richard Thomas
Authors
Gavril Farkas
Institut für Mathematik
Humboldt Universität zu Berlin
Berlin
Germany
Michael Kemeny
Department of Mathematics
Stanford University
Palo Alto, CA
United States