K-Groups of reciprocity functors for G_a and abelian varieties

Abstract

We prove that the $K$-group of reciprocity functors, defined by F. Ivorra and the first author, vanishes over a perfect field as soon as one of the reciprocity functors is ${\mathbb{G}}_a$ and one is an abelian variety.

arXiv commentThe title is changed. 10 pages