K-groups of reciprocity functors for 𝔾&lt;inf&gt;a&lt;/inf&gt; and abelian varieties

Kay Rülling; Takao Yamazaki

doi:10.1017/is014009014jkt279

K-groups of reciprocity functors for 𝔾<inf>a</inf> and abelian varieties

Kay Rülling, Takao Yamazaki

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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 G{double-struck}_a and one is an abelian variety.

Original language	English
Pages (from-to)	556-569
Number of pages	14
Journal	Journal of K-Theory
Volume	14
Issue number	3
DOIs	https://doi.org/10.1017/is014009014jkt279
Publication status	Published - 2014 Jul 8

Keywords

Chow group
K-group
Reciprocity functor

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.1017/is014009014jkt279

Cite this

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title = "K-groups of reciprocity functors for 픾<inf>a</inf> 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 G{double-struck}a and one is an abelian variety.",

keywords = "Chow group, K-group, Reciprocity functor",

author = "Kay R{\"u}lling and Takao Yamazaki",

note = "Funding Information: The first author is supported by the ERC Advanced Grant 226257, the second author is supported by JSPS KAKENHI Grant (22684001, 24654001). Publisher Copyright: Copyright {\textcopyright} ISOPP 2014.",

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doi = "10.1017/is014009014jkt279",

language = "English",

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journal = "Journal of K-Theory",

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T1 - K-groups of reciprocity functors for 픾<inf>a</inf> and abelian varieties

AU - Rülling, Kay

AU - Yamazaki, Takao

N1 - Funding Information: The first author is supported by the ERC Advanced Grant 226257, the second author is supported by JSPS KAKENHI Grant (22684001, 24654001). Publisher Copyright: Copyright © ISOPP 2014.

PY - 2014/7/8

Y1 - 2014/7/8

N2 - 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 G{double-struck}a and one is an abelian variety.

AB - 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 G{double-struck}a and one is an abelian variety.

KW - Chow group

KW - K-group

KW - Reciprocity functor

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ER -

K-groups of reciprocity functors for 𝔾<inf>a</inf> and abelian varieties

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this

K-groups of reciprocity functors for 𝔾&lt;inf&gt;a&lt;/inf&gt; and abelian varieties

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this

K-groups of reciprocity functors for 𝔾<inf>a</inf> and abelian varieties