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arXiv · 2103.11831

Endomorphisms of the projective plane and the image of the Suslin-Hurewicz map

Oliver Röndigs
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Abstract

The endomorphism ring of the projective plane over a field F of characteristic neither two nor three is slightly more complicated in the Morel-Voevodsky motivic stable homotopy category than in Voevodsky's derived category of motives. In particular, it is not commutative precisely if there exists a square in F which does not admit a sixth root. A byproduct of the computations is a proof of Suslin's conjecture on the Suslin-Hurewicz homomorphism from Quillen to Milnor K-theory in degree four, based on work of Asok, Fasel, and Williams.

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Oliver Röndigs. 2021-03-22. Endomorphisms of the projective plane and the image of the Suslin-Hurewicz map. https://arxiv.org/abs/2103.11831

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