1 results
The Brauer group and indecomposable
$(2,1)$-cycles
- Part of
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- Journal:
- Compositio Mathematica / Volume 152 / Issue 5 / May 2016
- Published online by Cambridge University Press:
- 17 December 2015, pp. 1041-1051
- Print publication:
- May 2016
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- Article
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- You have access
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We show that the torsion in the group of indecomposable
$(2,1)$-cycles on a smooth projective variety over an algebraically closed field is isomorphic to a twist of its Brauer group, away from the characteristic. In particular, this group is infinite as soon as 
$b_{2}-{\it\rho}>0$. We derive a new insight into Roǐtman’s theorem on torsion 
$0$-cycles over a surface.
