Rationality of Moduli Spaces of Parabolic Bundles

DOI10.1112/S0024610799007061zbMath1023.14025arXivalg-geom/9610013WikidataQ128252638 ScholiaQ128252638MaRDI QIDQ4265447

Kôji Yokogawa, Hans U. Boden

Publication date: 25 October 1999

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9610013

zbMATH Keywords

parabolic bundles with fixed determinantrationality of moduli spaces of parabolic bundles

Mathematics Subject Classification ID

Determinantal varieties (14M12) Rational and unirational varieties (14M20) Algebraic moduli problems, moduli of vector bundles (14D20) Rational and birational maps (14E05) Vector bundles on curves and their moduli (14H60)

Related Items

Picard group of moduli of parabolic Higgs bundles, Automorphism group of the moduli space of parabolic vector bundles with fixed degree, Line bundles on the moduli space of parabolic connections over a compact Riemann surface, Chen-Ruan cohomology of some moduli spaces of parabolic vector bundles, THETA FUNCTIONS ON THE MODULI SPACE OF PARABOLIC BUNDLES, The Witten-Reshetikhin-Turaev invariant for links in finite order mapping tori. I., On the rationality of the moduli schemes of vector bundles on curves, Chen-Ruan cohomology and moduli spaces of parabolic bundles over a Riemann surface, Torelli theorem for the parabolic Deligne-Hitchin moduli space, Brauer group of moduli stack of stable parabolic PGL(r)-bundles over a curve, Motives of moduli spaces of bundles on curves via variation of stability and flips, SYZ duality for parabolic Higgs moduli spaces, Stability of the parabolic Poincaré bundle, Rationality of moduli space of torsion-free sheaves over reducible curve, On Abel-Jacobi maps of moduli of parabolic bundles over a curve, Brauer Group and Birational Type of Moduli Spaces of Torsionfree Sheaves on a Nodal Curve, The first Chern form on moduli of parabolic bundles, Rationality of moduli of vector bundles on curves., Moduli of parabolic Higgs bundles and Atiyah algebroids, Chow group of 1-cycles of the moduli of parabolic bundles over a curve, Automorphism group of the moduli space of parabolic bundles over a curve, Recent results on vector bundles, principal bundles and related topics, Brauer group of a moduli space of parabolic vector bundles over a curve, SOME INDEX FORMULAE ON THE MODULI SPACE OF STABLE PARABOLIC VECTOR BUNDLES