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arXiv · 1611.09327

The Grothendieck ring of varieties and algebraic K-theory of spaces

Oliver Röndigs
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Abstract

Waldhausen's algebraic K-theory machinery is applied to motivic homotopy theory, producing an interesting motivic homotopy type. Over a field F of characteristic zero, its path components receive a surjective ring homomorphism from the Grothendieck ring of varieties over F.

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Oliver Röndigs. 2016-11-28. The Grothendieck ring of varieties and algebraic K-theory of spaces. https://doi.org/10.2140/obs.2025.6.165

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