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15 April 2017 The Prym–Green conjecture for torsion line bundles of high order
Gavril Farkas, Michael Kemeny
Duke Math. J. 166(6): 1103-1124 (15 April 2017). DOI: 10.1215/00127094-3792814

Abstract

Using a construction of Barth and Verra that realizes torsion bundles on sections of special K3 surfaces, we prove that the minimal resolution of a general paracanonical curve C of odd genus g and order g+22 is natural, thus proving the Prym–Green conjecture. In the process, we confirm the expectation of Barth and Verra concerning the number of curves with -torsion line bundle in a linear system on a special K3 surface.

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Gavril Farkas. Michael Kemeny. "The Prym–Green conjecture for torsion line bundles of high order." Duke Math. J. 166 (6) 1103 - 1124, 15 April 2017. https://doi.org/10.1215/00127094-3792814

Information

Received: 25 October 2015; Revised: 15 July 2016; Published: 15 April 2017
First available in Project Euclid: 16 December 2016

zbMATH: 1368.14053
MathSciNet: MR3635900
Digital Object Identifier: 10.1215/00127094-3792814

Subjects:
Primary: 14H
Secondary: 14H10

Keywords: Barth–Verra surface , Koszul cohomology , natural resolution , paracanonical curve

Rights: Copyright © 2017 Duke University Press

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Vol.166 • No. 6 • 15 April 2017
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