Moduli stacks and moduli schemes for rank 2 unstable bundles

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.

arXiv commentThis paper has been withdrawn.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

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