Moduli of Generalized Line Bundles on a Ribbon

2011/06/27 by Dawei Chen, Chen, Dawei, Jesse Leo Kass +1
Mathematics · #14C20 #14D20 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1106.5441

openalex publication_date 2011/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A ribbon is a first-order thickening of a non-singular curve. Motivated by a question of Eisenbud and Green, we show that a compactification of the moduli space of line bundles on a ribbon is given by the moduli space of semi-stable sheaves. We then describe the geometry of this space, determining the irreducible components, the connected components, and the smooth locus.

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