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Asian Journal of Mathematics
Volume 25 (2021)
Number 1
Bloch’s conjecture for some numerical Campedelli surfaces
Pages: 49 – 64
DOI: https://dx.doi.org/10.4310/AJM.2021.v25.n1.a4
Author
Abstract
We prove Bloch’s conjecture for numerical Campedelli surfaces with fundamental group of order $9$.
Keywords
algebraic cycles, Chow groups, motives, Bloch conjecture, surfaces of general type, Voisin’s “spread” method
2010 Mathematics Subject Classification
Primary 14C15. Secondary 14C25, 14C30.
Received 12 December 2018
Accepted 14 April 2020
Published 30 September 2021