Relative $K_0$ and relative cycle class map

Abstract

We study relative $K_0$ of exact categories and triangulated categories. As an application, we construct a cycle class map from Chow groups with modulus to relative $K_0$.

20 pages, final version, to appear in Journal of Pure and Applied Algebra

References in corpus (1)

• Zero cycles with modulus and zero cycles on singular varieties

Cited by in corpus (3)

• A moving lemma for algebraic cycles with modulus and contravariance
• Isomorphisms up to bounded torsion between relative $K_0$-groups and Chow groups with modulus
• Projective bundle formula for Heller' relative K_0