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$\mathbb A^1$-equivalence
of zero cycles on surfaces, II
Qizheng Yin and Yi Zhu |
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Vol. 3 (2018), No. 3, 379–393
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Abstract |
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Using recent developments in the theory of mixed motives, we prove that the log Bloch conjecture holds for an open smooth complex surface if the Bloch conjecture holds for its compactification. This verifies the log Bloch conjecture for all -homology planes and for open smooth surfaces which are not of log general type. |
Keywords
Bloch's conjecture, open algebraic surfaces,
$\mathbb{Q}$-homology planes, Suslin homology, mixed
motives
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Mathematical Subject Classification 2010
Primary: 14C15, 14C25, 14F42
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Milestones
Received: 28 March 2016
Revised: 28 November 2017
Accepted: 14 December 2017
Published: 16 July 2018
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Authors |
| Qizheng Yin | |
| Beijing International Center for
Mathematical Research Peking University Beijing China |
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| Yi Zhu | |
| Pure Mathematics University of Waterloo Waterloo, ON Canada |
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