Extensions and rank-2 vector bundles on irreducible nodal curves

Details Extensions and rank-2 vector bundles on irreducible nodal curves Extensions and rank-2 vector bundles on irreducible nodal curves

2004-03-19

arxiv.org/abs/math/0403325v2

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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