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Some surfaces of general type for which Bloch's conjecture holds

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arxiv 1304.7523 v1 pith:E3MEV5ZQ submitted 2013-04-28 math.AG

classification math.AG
keywords surfacesblochconjecturegeneralholdstypeequippedexamples
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abstract

We give many examples of surfaces of general type with $p_g=0$ for which Bloch's conjecture holds, for all values of $K^2$ except 9. Our surfaces are equipped with an involution.

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  1. 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.

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