Moduli Stacks of Vector Bundles on Curves and the King–Schofield Rationality Proof

DOI10.1007/978-0-8176-4934-0_5zbMath1203.14038arXivmath/0511660OpenAlexW1839511236MaRDI QIDQ3161479

Norbert Hoffmann

Publication date: 14 October 2010

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511660

zbMATH Keywords

moduli spacesrationalityvector bundles on curvesalgebraic stack

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Rationality questions in algebraic geometry (14E08) Stacks and moduli problems (14D23)

Related Items

The Picard group of a coarse moduli space of vector bundles in positive characteristic, Geometry of moduli stacks of \((k,l)\)-stable vector bundles over algebraic curves, Tautological families of cyclic covers of projective spaces, Linear bounds for levels of stable rationality, Independent parameters for special instanton bundles on \(\mathbb P^{2n+1}\), On the essential dimension of coherent sheaves, The Picard group of the universal moduli space of vector bundles on stable curves, Automorphisms of moduli spaces of vector bundles over a curve, Vector bundles and finite covers

Cites Work

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• Rationality of moduli spaces of stable bundles
• Geometric Invariant Theory
• On a conjecture of Lange