Zero cycles on certain surfaces in arbitrary characteristic

Details Zero cycles on certain surfaces in arbitrary characteristic Zero cycles on certain surfaces in arbitrary characteristic

2006-07-24

arxiv.org/abs/math/0607593v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

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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