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2010 The divisor class group of a Quot scheme
Rafael Hernández, Daniel Ortega
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Tbilisi Math. J. 3: 1-14 (2010). DOI: 10.32513/tbilisi/1528768854


The divisor class group of the Quot scheme parameterizing quotients of fixed degree and rank of a trivial bundle on a curve is computed. The method used is a reduction to the case of rank 0 quotients.

Funding Statement

The second author was partially supported through grant \textsf{MTM2007-63582} of the Ministerio de Educación y Ciencia, Spain. We thank several referees of a previous version of this paper for many useful suggestions that, we believe, have improved our presentation.


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Rafael Hernández. Daniel Ortega. "The divisor class group of a Quot scheme." Tbilisi Math. J. 3 1 - 14, 2010.


Received: 14 October 2009; Revised: 31 May 2010; Accepted: 23 July 2010; Published: 2010
First available in Project Euclid: 12 June 2018

zbMATH: 1278.14049
MathSciNet: MR2771662
Digital Object Identifier: 10.32513/tbilisi/1528768854

Primary: 14H60

Keywords: Divisor class group , Quot scheme , vector bundle

Rights: Copyright © 2010 Tbilisi Centre for Mathematical Sciences


Vol.3 • 2010
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