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Extensions and rank-2 vector bundles on irreducible nodal curves

D. Arcara
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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.

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D. Arcara. 2004-07-27. Extensions and rank-2 vector bundles on irreducible nodal curves. https://arxiv.org/abs/math/0403325

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