The Bloch conjecture
Algebraic Geometry
2025-12-16 v1
Abstract
We prove the conjecture stated by Spencer Bloch in 1975 and saying that the Albanese kernel of a smooth projective surface is 0, provided its second cohomology group is algebraic.
Cite
@article{arxiv.2512.12451,
title = {The Bloch conjecture},
author = {Vladimir Guletskii},
journal= {arXiv preprint arXiv:2512.12451},
year = {2025}
}
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24 pages