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arxiv: 1312.4205 · v2 · pith:T26NRZHBnew · submitted 2013-12-15 · 🧮 math.AG · math.KT· math.NT

K-Groups of reciprocity functors for G_a and abelian varieties

classification 🧮 math.AG math.KTmath.NT
keywords functorsreciprocityabelianauthordefinedfieldfirstgroup
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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.

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