Geometry & Topology

The resolution of paracanonical curves of odd genus

Gavril Farkas and Michael Kemeny

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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.

Article information

Geom. Topol., Volume 22, Number 7 (2018), 4235-4257.

Received: 7 September 2017
Revised: 23 February 2018
Accepted: 3 April 2018
First available in Project Euclid: 14 December 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14H10: Families, moduli (algebraic)

syzygy paracanonical curve ruled elliptic surface


Farkas, Gavril; Kemeny, Michael. The resolution of paracanonical curves of odd genus. Geom. Topol. 22 (2018), no. 7, 4235--4257. doi:10.2140/gt.2018.22.4235.

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