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arXiv · 1106.5441

Moduli of Generalized Line Bundles on a Ribbon

Dawei Chen·Jesse Leo Kass
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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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Dawei Chen, Jesse Leo Kass. 2011-06-27. Moduli of Generalized Line Bundles on a Ribbon. https://arxiv.org/abs/1106.5441

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