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arXiv · 1504.03125

On 0-cycles with modulus

Amalendu Krishna
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Abstract

Given a smooth surface $X$ over a field and an effective Cartier divisor $D$, we provide an exact sequence connecting $CH_0(X,D)$ and the relative $K$-group $K_0(X,D)$. We use this exact sequence to answer a question of Kerz and Saito whenever $X$ is a resolution of singularities of a normal surface. This exact sequence is used to show that the localization sequence for ordinary Chow groups does not extend to Chow groups with modulus.

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Amalendu Krishna. 2015-04-13. On 0-cycles with modulus. https://arxiv.org/abs/1504.03125

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