Moduli of generalized line bundles on a ribbon

• Dawei Chen ^[1] ; Jesse Leo Kass ^[2]
  1. [1] Boston College

     Boston College

     City of Boston, Estados Unidos

     
  2. [2] University of South Carolina

     University of South Carolina

     Estados Unidos

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 2 (February 2016), 2016, págs. 822-844
• Idioma: inglés
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• Resumen

  • 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.