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

Federico Binda

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

Algebraic Geometry 2018-01-10 v2 K-Theory and Homology

Authors: Federico Binda

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 $n\geq 0$ .

Keywords

algebraic cycles and chow groups chow rings dynamical systems

Cite

@article{arxiv.1706.07126,
  title  = {A cycle class map from Chow groups with modulus to relative $K$-theory},
  author = {Federico Binda},
  journal= {arXiv preprint arXiv:1706.07126},
  year   = {2018}
}

Comments

24 pages. Final version to appear in Documenta Math

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

Abstract

Keywords

Cite

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