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K-Groups of reciprocity functors for G_a and abelian varieties

Kay RĂ¼lling and Takao Yamazaki

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 Ga and one is an abelian variety.

Reference : Journal of K-theory, 14 (2014), 556-569 https://doi.org/10.1017/is014009014jkt279

ArXiv link : https://arxiv.org/abs/1312.4205

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