Higher algebraic K-theory and tangent spaces to Chow groups

TL;DR

This paper explores the relationship between higher algebraic K-theory and tangent spaces to Chow groups, providing a detailed analysis of the tangent sequence to the Bloch-Gersten-Quillen sequence.

Contribution

It demonstrates that the tangent sequence to the Bloch-Gersten-Quillen sequence is a Cousin resolution using advanced tools in higher K-theory.

Findings

Confirmed the tangent sequence forms a Cousin resolution

Applied higher K-theory techniques like Chern character and cyclic homology

Provided an answer to a question posed by Green-Griffiths

Abstract

This is a reproduction of my thesis. By using higher K-theory(Chern character, cyclic homology, effacement theorem and etc), we provide an answer to a question by Green- Griffiths which says the tangent sequence to Bloch-Gersten-Quillen sequence is Cousin resolution.