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arXiv · 1706.07126

A cycle class map from Chow groups with modulus to relative $K$-theory

Federico Binda
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Abstract

Let $\bar{X}$ be a smooth quasi-projective $d$-dimensional variety over a field $k$ and let $D$ be an effective Cartier divisor on it. In this note, we construct cycle class maps from (a variant of) the higher Chow group with modulus of the pair $(\bar{X},D)$ in the range $(d+n, n)$ to the relative $K$-groups $K_n(\bar{X}, D)$ for every $n\geq 0$.

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Federico Binda. 2017-06-21. A cycle class map from Chow groups with modulus to relative $K$-theory. https://arxiv.org/abs/1706.07126

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