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Zero cycles on certain surfaces in arbitrary characteristic

G V Ravindra
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Abstract

Let $k$ be a field of arbitrary characteristic. Let $S$ be a singular surface defined over $k$ with multiple rational curve singularities and suppose that the Chow group of zero cycles of its normalisation $\tilde{S}$ is finite dimensional. We give numerical conditions under which the Chow group of zero cycles of $S$ is finite dimensional.

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G V Ravindra. 2006-07-24. Zero cycles on certain surfaces in arbitrary characteristic. https://arxiv.org/abs/math/0607593

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