Somekawa's K-groups and Voevodsky's Hom groups

Details Somekawa's K-groups and Voevodsky's Hom groups Somekawa's K-groups and Voevodsky's Hom groups

2011-08-13

arxiv.org/abs/1108.2764v1

Mathematics

Algebraic Geometry

arXiv admin note: revised version of arXiv:1009.4554 with additional author

Scientific paper

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. This completes the work from the preliminary
version posted previously under the same title.

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