Zero-cycles with modulus and relative K-theory

2019/06/20 by Gupta, Rahul, Krishna, Amalendu
#14C25 (Primary) #19E08 #19E15 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1906.08536

Abstract

We construct a cycle class map from the higher Chow groups of 0-cycles to the relative K-theory of a modulus pair. We show that this induces a pro-isomorphism between the additive higher Chow groups of relative 0-cycles and relative K-theory of truncated polynomial rings over a regular semi-local ring, essentially of finite type over a characteristic zero field.

Related

• Relative K-theory via 0-cycles in finite characteristic
• A cycle class map from Chow groups with modulus to relative K-theory
• On 0-cycles with modulus
• Cycle class maps for Chow groups of zero-cycles with modulus
• Rigidity for relative 0-cycles