\mathbbA¹-equivalence of zero cycles on surfaces

2015/10/06 by Yi Zhu, Zhu, Yi
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Analytic Number Theory Research #math.AG

paper · pdf · doi:10.48550/arxiv.1510.01712

17 pages. Final version

arxiv created 2017/01/17 · arxiv updated 2017/01/18

Abstract

In this paper, we study \mathbbA¹-equivalence classes of zero cycles on open complex algebraic surfaces. We prove the logarithmic version of Mumford's theorem on zero cycles and prove that log Bloch's conjecture holds for quasiprojective surfaces with log Kodaira dimension -∞.

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