Moduli stacks and moduli schemes for rank 2 unstable bundles

L. Brambila-Paz; Osbaldo Mata; Nitin Nitsure

Moduli stacks and moduli schemes for rank 2 unstable bundles

Algebraic Geometry 2011-03-01 v2

Authors: L. Brambila-Paz , Osbaldo Mata , Nitin Nitsure

Abstract

Let X be a geometrically irreducible smooth projective curve over a field k. We describe the algebra of endomorphisms of indecomposable unstable vector bundles over X of rank 2 and degree d. Fixing some numerical invariants, namely the Harder-Narasimhan type and the dimension of the algebra of endomorphisms, we construct algebraic stacks and moduli schemes for such bundles.

Keywords

unstable vector bundles moduli stacks moduli schemes Harder-Narasimhan type endomorphism algebra smooth projective curve

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@article{arxiv.0911.2301,
  title  = {Moduli stacks and moduli schemes for rank 2 unstable bundles},
  author = {L. Brambila-Paz and Osbaldo Mata and Nitin Nitsure},
  journal= {arXiv preprint arXiv:0911.2301},
  year   = {2011}
}

Comments

This paper has been withdrawn. Developments of the results presented in this paper will be presented in two papers

Moduli stacks and moduli schemes for rank 2 unstable bundles

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