Bloch's conjecture for the surface of Craighero and Gattazzo

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arxiv 1609.04074 v6 pith:NKUWHGSO submitted 2016-09-14 math.AG

Vladimir Guletskii This is my paper · ORCID

classification math.AG

keywords blochconjecturecraigherogattazzosurfaceconstructedgoalgodeaux

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The goal of this paper is to prove Bloch's conjecture for the numerical Godeaux surface constructed by P. Craighero and R. Gattazzo.

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Selmer group associated to the Chow group of certain codimension two cycles
math.NT 2019-08 reject novelty 5.0 of 10

For a CM elliptic curve E over a number field, the quotient of the n-torsion of the image of the flat pullback on codimension-two cycles by the n-torsion of the model's Chow group is claimed to be pro-finite.