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Unramified Milnor–Witt K-Theories

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Book cover A1-Algebraic Topology over a Field

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2052))

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Abstract

Our aim in this section is to compute (or describe), for any integer n0, the free strongly \({\mathbb{A}}^{1}\)-invariant sheaf generated by the n-th smash power of \({\mathbb{G}}_{m}\), in other words the free strongly \({\mathbb{A}}^{1}\)-invariant sheaf on nunits.

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Notes

  1. 1.

    Observe that if \(k = {\mathbb{F}}_{2}\), \({\mathbb{A}}^{1} -\{ 0, 1\}\) has no rational point.

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  1. Mathematisches Institut der LMU, Muenchen, Germany

    Fabien Morel

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Morel, F. (2012). Unramified Milnor–Witt K-Theories. In: A1-Algebraic Topology over a Field. Lecture Notes in Mathematics, vol 2052. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29514-0_3

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