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

2017/06/21 by Binda, Federico
#14C25 (Primary) #14F42 (Secondary) #19E15 #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1706.07126

Abstract

Let 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 (X,D) in the range (d+n, n) to the relative K-groups K_n(X, D) for every n≥ 0.

Related

• Cycle class maps for Chow groups of zero-cycles with modulus
• Zero-cycles with modulus and relative K-theory
• Geometric class field theory with bounded ramification
• Relative K-theory via 0-cycles in finite characteristic
• On 0-cycles with modulus