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arXiv · 2504.08303

Bloch's conjecture on surfaces of general type with $p_g=q=0, K^2=3$ and with an involution

Kalyan Banerjee
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Abstract

In this short note we prove that an involution on certain examples of surfaces of general type with $p_g=0=q, K^2=3$, acts as identity on the Chow group of zero cycles of the relevant surface. In particular we consider examples of such surfaces when the quotient is bi-rational to an Enriques surface or to a surface of Kodaira dimension one and show that the Bloch conjecture holds for such surfaces.

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Kalyan Banerjee. 2025-04-11. Bloch's conjecture on surfaces of general type with $p_g=q=0, K^2=3$ and with an involution. https://arxiv.org/abs/2504.08303

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