Somekawa's K-groups and Voevodsky's Hom groups, by Bruno Kahn and Takao Yamazaki

We construct an isomorphism from Somekawa's K-group associated to a finite collection of semi-abelian varieties (or more general sheaves) over a perfect field to a corresponding Hom group in Voevodsky's triangulated category of effective motivic complexes.

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• Somekawa-Voevodsky17.dvi (138340 bytes) [August 12, 2011]
• Somekawa-Voevodsky17.dvi.gz (56609 bytes)
• Somekawa-Voevodsky17.pdf (310760 bytes) [August 12, 2011]
• Somekawa-Voevodsky17.ps.gz (251882 bytes)

Bruno Kahn <kahn@math.jussieu.fr>
Takao Yamazaki <ytakao@math.tohoku.ac.jp>