Bloch's Conjecture for Surfaces with $p_g=0$

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VibeMathed record: Bloch's Conjecture for Surfaces with $p_g=0$ evidence for this event

For every smooth connected projective complex surface $S$ with $p_g=q=0$, $\deg:\mathrm{CH}_0(S)\to\mathbb{Z}$ is an isomorphism with integral coefficients, with no minimality, fundamental-group or construction hypothesis. With Bloch-Kas-Lieberman this gives $\mathrm{CH}_0(S)^0\cong\mathrm{Alb}(S)(\mathbb{C})$ for every such surface with $p_g=0$. Over $\mathbb{C}$ only; it does not address the generalized Bloch conjecture in higher dimension. An earlier proof of the same statement was proposed by Guletskii (arXiv:2512.12451, December 2025), which the manuscript cites; this entry claims no priority over it. parent of this event

Bloch's Conjecture for Surfaces with $p_g=0$ parent of this event

Guletskii, The Bloch conjecture, arXiv 2512.12451 (earlier proposed proof) evidence for this event

Bloch's Conjecture for Surfaces with $p_g=0$ evidence for this event

Bloch, Kas and Lieberman, Zero cycles on surfaces with p_g=0 (1976) evidence for this event