Vol. 7, No. 2, 2013

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Two ways to degenerate the Jacobian are the same

Jesse Leo Kass

Vol. 7 (2013), No. 2, 379–404
Abstract

We provide sufficient conditions for the line bundle locus in a family of compact moduli spaces of pure sheaves to be isomorphic to the Néron model. The result applies to moduli spaces constructed by Eduardo Esteves and Carlos Simpson, extending results of Busonero, Caporaso, Melo, Oda, Seshadri, and Viviani.

Keywords
Néron model, stable sheaf, compactified Jacobian, relative Picard functor
Mathematical Subject Classification 2010
Primary: 14H40
Secondary: 14L15, 14D22, 14H10
Milestones
Received: 23 September 2011
Revised: 13 January 2012
Accepted: 20 February 2012
Published: 25 April 2013
Authors
Jesse Leo Kass
Institut für Algebraische Geometrie
Leibniz Universität Hannover
Welfengarten 1
D-30167 Hannover
Germany
http://www2.iag.uni-hannover.de/~kass/