Zero cycles on singular varieties and their desingularisations

2014/04/17 by Morrow, Matthew
#Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1404.4649

Abstract

We use pro cdh-descent of K-theory to study the relationship between the zero cycles on a singular variety X and those on its desingularisation X'. We prove many cases of a conjecture of S. Bloch and V. Srinivas, and relate the Chow groups of X to the Kerz--Saito Chow group with modulus of X' relative to its exceptional fibre.

Related

• A cdh approach to zero-cycles on singular varieties
• 0-cycles on singular schemes and class field theory
• On 0-cycles with modulus
• Zero-cycle groups on algebraic varieties
• Zero cycles on certain surfaces in arbitrary characteristic