Bloch's conjecture on surfaces of general type with $p_g=q=0, K^2=3$ and with an involution
Algebraic Geometry
2025-04-14 v1
Abstract
In this short note we prove that an involution on certain examples of surfaces of general type with , 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.
Keywords
Cite
@article{arxiv.2504.08303,
title = {Bloch's conjecture on surfaces of general type with $p_g=q=0, K^2=3$ and with an involution},
author = {Kalyan Banerjee},
journal= {arXiv preprint arXiv:2504.08303},
year = {2025}
}