Brauer Group and Birational Type of Moduli Spaces of Torsionfree Sheaves on a Nodal Curve

DOI10.1080/00927872.2012.749263zbMath1304.14043arXiv1211.1074OpenAlexW1999280873MaRDI QIDQ5413996

Indranil Biswas, Usha N. Bhosle

Publication date: 2 May 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.1074

zbMATH Keywords

vector bundlerationalityBrauer groupnodal curve

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Brauer groups of schemes (14F22) Rationality questions in algebraic geometry (14E08)

Related Items

On the rationality of Nagaraj-Seshadri moduli space, On the rationality of moduli spaces of vector bundles over chain-like curves, Moduli spaces of vector bundles on a real nodal curve, Projective Poincaré and Picard bundles for moduli spaces of vector bundles over nodal curves, Rationality of moduli space of torsion-free sheaves over reducible curve, On vector bundles over reducible curves with a node, Recent results on vector bundles, principal bundles and related topics

Cites Work

• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• Rationality of moduli of vector bundles on curves.
• Retract rational fields and cyclic Galois extensions
• Compactification of the space of vector bundles on a singular curve
• The Brauer group and the center of generic matrices
• The center of the ring of \(4\times 4\) generic matrices
• Correction: Rationally of moduli spaces of stable bundles
• Stable rationality of certain \(PGL_ n\)-quotients
• Picard groups of the moduli spaces of vector bundles
• Rationality of moduli spaces of stable bundles
• The ring of generic matrices.
• Brauer obstruction for a universal vector bundle
• Fibre Systems of Jacobian Varieties
• The center of the ring of 3×3 generic matrices
• Induction theorems on the stable rationality of the center of the ring of generic matrices
• Rationality of Moduli Spaces of Parabolic Bundles
• MAXIMAL SUBSHEAVES OF TORSION-FREE SHEAVES ON NODAL CURVES