English

Kimura-finiteness of quadric fibrations over smooth curves

Algebraic Geometry 2016-12-06 v1 Algebraic Topology K-Theory and Homology

Abstract

In this short note, making use of the recent theory of noncommutative mixed motives, we prove that the Voevodsky's mixed motive of a quadric fibration over a smooth curve is Kimura-finite.

Keywords

Cite

@article{arxiv.1612.01515,
  title  = {Kimura-finiteness of quadric fibrations over smooth curves},
  author = {Goncalo Tabuada},
  journal= {arXiv preprint arXiv:1612.01515},
  year   = {2016}
}

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6 pages