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Brauer group of moduli stack of stable parabolic PGL(r)-bundles over a curve.
- Source :
-
International Journal of Mathematics . Jan2024, Vol. 35 Issue 1, p1-22. 22p. - Publication Year :
- 2024
-
Abstract
- Let k be an algebraically closed field of characteristic zero. We prove that the Brauer group of the moduli stack of stable parabolic PGL (r , k) -bundles on a smooth projective curve, with full flag quasi-parabolic structures at an arbitrary parabolic divisor, coincides with the Brauer group of the smooth locus of the corresponding coarse moduli space of parabolic PGL (r , k) -bundles. We also compute the Brauer group of the smooth locus of this coarse moduli for more general quasi-parabolic types and weights satisfying certain conditions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BRAUER groups
*VECTOR bundles
*PARABOLIC operators
*K-theory
Subjects
Details
- Language :
- English
- ISSN :
- 0129167X
- Volume :
- 35
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 174793867
- Full Text :
- https://doi.org/10.1142/S0129167X23500957