Rationality of moduli of vector bundles on curves.

DOI10.1016/S0019-3577(00)87905-7zbMath1043.14502arXivmath/9907068MaRDI QIDQ698669

Aidan Schofield, Alastair D. King

Publication date: 22 September 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907068

Mathematics Subject Classification ID

Rational and birational maps (14E05) Vector bundles on curves and their moduli (14H60)

Related Items (25)

Moduli Stacks of Vector Bundles on Curves and the King–Schofield Rationality Proof ⋮ On rationality of moduli spaces of vector bundles on real Hirzebruch surfaces ⋮ On the rationality of Nagaraj-Seshadri moduli space ⋮ On the rationality of moduli spaces of vector bundles over chain-like curves ⋮ The Brauer group of desingularization of moduli spaces of vector bundles over a curve ⋮ A note on the moduli spaces of holomorphic and logarithmic connections over a compact Riemann surface ⋮ Tautological families of cyclic covers of projective spaces ⋮ Motives of moduli spaces of bundles on curves via variation of stability and flips ⋮ Linear bounds for levels of stable rationality ⋮ Independent parameters for special instanton bundles on \(\mathbb P^{2n+1}\) ⋮ COHERENT SYSTEMS AND MODULAR SUBAVRIETIES OF $\mathcal{SU}_C(r)$ ⋮ A note on 1-cycles on the moduli space of rank-2 bundles over a curve ⋮ Some moduli stacks of symplectic bundles on a curve are rational ⋮ Rationality of moduli space of torsion-free sheaves over reducible curve ⋮ On Abel-Jacobi maps of moduli of parabolic bundles over a curve ⋮ Unramified Brauer group of the moduli spaces of \(\mathrm{PGL}_r(\mathbb C)\)-bundles over curves ⋮ Brauer Group and Birational Type of Moduli Spaces of Torsionfree Sheaves on a Nodal Curve ⋮ Genus 2 curves and generalized theta divisors ⋮ On vector bundles over reducible curves with a node ⋮ Chow group of 1-cycles of the moduli of parabolic bundles over a curve ⋮ Recent results on vector bundles, principal bundles and related topics ⋮ Period and index in the Brauer group of an arithmetic surface ⋮ Poincaré families and automorphisms of principal bundles on a curve ⋮ Rationality of moduli spaces of stable bundles on curves over \(\mathbb{R}\) ⋮ Birational classification of moduli spaces of representations of quivers

Cites Work

• Correction: Rationally of moduli spaces of stable bundles
• Zur Klassifikation von Regelmannigfaltigkeiten
• Deformations of the moduli space of vector bundles over an algebraic curve
• Rationality of moduli spaces of stable bundles
• Rationality of Moduli Spaces of Parabolic Bundles
• Geography of Brill-Noether loci for small slopes
• Unnamed Item

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