Publication:
Rationality and Brauer group of a moduli space of framed bundles.

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2011
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Board
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
We prove that the moduli spaces of framed bundles over a smooth projective curve are rational. We compute the Brauer group of these moduli spaces to be zero under some assumption on the stability parameter.
Description
Keywords
Citation
V. Balaji, I. Biswas, O. Gabber and D. S. Nagaraj, Brauer obstruction for a universal vector bundle. Comp. Rend. Acad. Sci. Paris 345 (2007), 265–268. I. Biswas, T. G´omez and V. Muñoz, Torelli theorem for the moduli space of framed bundles,Math. Proc. Camb. Phil. Soc. 148 (2010), 409–423. H. U. Boden and K. Yokogawa, Rationality of moduli spaces of parabolic bundles, Jour. London Math. Soc. 59 (1999), 461–478. O. Gabber, Some theorems on Azumaya algebras, in: The Brauer Group, pp. 129–209, Lecture Notes in Math., Vol. 844, Springer, Berlin–New York, 1981. N. Hoffmann, Rationality and Poincar´e families for vector bundles with extra structure on a curve, Int. Math. Res. Not. 2007, no. 3, Art. ID rnm010, 30 pp. N. Hoffmann, Moduli stacks of vector bundles on curves and the King-Schofield rationality proof, in: Cohomological and geometric approaches to rationality problems, pp. 133–148, Progr.Math., 282, Birkhauser Boston, Inc., Boston, MA, 2010. D. Huybrechts and M. Lehn, Framed modules and their moduli, Int. Jour. Math. 6 (1995),297–324. M. Maruyama, Openness of a family of torsion free sheaves, Jour. Math. Kyoto Univ. 16 (1976),627–637.
Collections