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Transactions of the American Mathematical Society

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$ \mathbb{A}^1$-equivalence of zero cycles on surfaces


Author: Yi Zhu
Journal: Trans. Amer. Math. Soc. 370 (2018), 6735-6749
MSC (2010): Primary 14C15, 14C25, 19E15
DOI: https://doi.org/10.1090/tran/7178
Published electronically: April 4, 2018
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Abstract: In this paper, we study $ \mathbb{A}^1$-equivalence classes of zero cycles on open algebraic surfaces. We prove the logarithmic version of Mumford's theorem on zero cycles. We also prove that the log Bloch conjecture holds for surfaces with log Kodaira dimension $ -\infty $.


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Additional Information

Yi Zhu
Affiliation: Department of Pure Mathematics, Univeristy of Waterloo, Waterloo, Ontario N2L3G1, Canada
Email: yi.zhu@uwaterloo.ca

DOI: https://doi.org/10.1090/tran/7178
Received by editor(s): October 28, 2015
Received by editor(s) in revised form: January 5, 2017, and January 6, 2017
Published electronically: April 4, 2018
Article copyright: © Copyright 2018 American Mathematical Society

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