Resumen de Moduli of generalized line bundles on a ribbon

Dawei Chen, Jesse Leo Kass

• A ribbon is a first-order thickening of a non-singular curve. We show that a compactification of the moduli space of generalized line bundles on a ribbon is given by the Simpson moduli space of semi-stable sheaves. We then describe the geometry of this space, determining the irreducible components, connectedness, and the smooth locus.