Biswas, Indranil ; Hogadi, Amit ; Holla, Yogish (2014) Unramified Brauer group of the moduli spaces of PGLr(ℂ)-bundles over curves Open Mathematics, 12 (8). pp. 1157-1163. ISSN 2391-5455
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Official URL: https://doi.org/10.2478/s11533-014-0403-4
Related URL: http://dx.doi.org/10.2478/s11533-014-0403-4
Abstract
Let X be an irreducible smooth complex projective curve of genus g, with g ≥ 2. Let N be a connected component of the moduli space of semistable principal PGL r (ℂ)-bundles over X; it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of N is trivial.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature. |
| Keywords: | Semistable projective bundle; Moduli space; Rationality; Brauer group; Weil pairing. |
| ID Code: | 141834 |
| Deposited On: | 27 Dec 2025 11:59 |
| Last Modified: | 27 Dec 2025 11:59 |
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