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A note on the unramified Brauer group of a homogeneous space
Unramified Brauer group homogeneous space linear algebraic group
2012/6/21
We give a new proof of the theorem stating that for any connected linear algebraic group G over an algebraically closed field k of characteristic 0 and for any closed connected subgroup H of G, the un...
Brauer group of moduli of principal bundles over a curve
Brauer group principal bundle moduli space curve
2011/2/24
Let G be a semisimple linear algebraic group over the field C, and let C be an irreducible smooth complex projective curve of genus at least three. We compute the Brauer group of the smooth locus of t...
We show that the Brauer group of any moduli space of stable pairs with fixed determinant over a curve is zero.