For every smooth connected projective complex surface with geometric genus pg = 0, the Albanese map on integral degree-zero zero-cycles is an isomorphism.
For every smooth connected projective complex surface with geometric genus pg = 0, the Albanese map on integral degree-zero zero-cycles is an isomorphism. In the remaining general-type case pg = q = 0, this says the degree map CH0(S) to Z is an isomorphism.
For every smooth connected projective complex surface with geometric genus pg = 0, the Albanese map on integral degree-zero zero-cycles is an isomorphism. In the remaining general-type case pg = q = 0, this says the degree map CH0(S) to Z is an isomorphism.
If correct, resolves Bloch’s zero-cycle conjecture for all smooth projective complex surfaces with pg = 0.
Does the Albanese map account for every degree-zero zero-cycle on a smooth complex projective surface with pg = 0?
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OpenAI reports Bloch’s conjecture for complex surfaces with pg = 0
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