Moduli of Generalized Line Bundles on a Ribbon

Details Moduli of Generalized Line Bundles on a Ribbon Moduli of Generalized Line Bundles on a Ribbon

2011-06-27

arxiv.org/abs/1106.5441v1

Mathematics

Algebraic Geometry

26 pages

Scientific paper

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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