Extensions and rank-2 vector bundles on irreducible nodal curves

2004/03/19 by D. Arcara, Arcara, D.
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0403325

32 pages, reference [Bho04] added, a few typos corrected

arxiv created 2004/07/27 · arxiv updated 2009/12/01

Abstract

We generalize Bertram's work on rank two vector bundles to an irreducible projective nodal curve C. We use extensions of a line bundle L by O_C and the associated `forgetful' map to study a compactification of the moduli space of semi-stable vector bundles of rank 2 and determinant L on C.

Related

• Extending Vector Bundles from Curves
• Remarks on motives of moduli spaces of rank 2 vector bundles on curves
• Rational families of vector bundles on curves, II
• New families of rank 2 bundles on projective space
• Motivic decompositions of moduli spaces of vector bundles on curves