Moduli stacks of vector bundles on curves and the King–Schofield rationality proof (Pre-published version)

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Springer

Abstract

Let C be a connected smooth projective curve of genus g ≥ 2 over an algebraically closed field k. Consider the coarse moduli scheme Bunr,d (resp. Bunr,L) of stable vector bundles on C with rank r and degree d ∈ Z (resp. determinant isomorphic to the line bundle L on C).

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Moduli stacks of vector bundles on curves and the King–Schofield rationality proof.

Citation

Hoffmann, N. (2010) 'Moduli Stacks of Vector Bundles on Curves and the King-Schofield Rationality Proof.' in: F. Bogomolov and Y. Tschinkel (Eds.): "Cohomological and Geometric Approaches to Rationality Problems, Birkhäuser Progress in Mathematics 282" (2010), pp. 133-148. ISBN: 978-0-8176-4934-0.