THE LEIBNIZ FORMULA IN ALGEBRAIC K-THEORY

    loading  Checking for direct PDF access through Ovid

Abstract

The paper may be viewed as an addendum to a paper of Thomason and Throbaugh, where the K-theory of algebraic varieties is equipped with relative K-groups. It is proved that this enriched K-theory satisfies the Panin–Smirnov axioms for ring cohomology theories of algebraic varieties. In particular, it is proved that the Leibniz formula, describing the interaction between multiplication and differential, holds in this case. The language of symmetric spectra and of monoidal model categories is used. Bibliography: 7 titles.

Related Topics

    loading  Loading Related Articles