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arXiv · 1610.00540

K-theory of semi-linear endomorphisms via the Riemann-Hilbert correspondence

Oliver Braunling
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Abstract

Grayson, developing ideas of Quillen, has made computations of the K-theory of "semi-linear endomorphisms". In the present text we develop a technique to compute these groups in the case of Frobenius semi-linear actions. The main idea is to interpret the semi-linear modules as crystals and use a positive characteristic version of the Riemann-Hilbert correspondence. We also compute the K-theory of the category of etale constructible p-torsion sheaves.

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Oliver Braunling. 2016-10-03. K-theory of semi-linear endomorphisms via the Riemann-Hilbert correspondence. https://arxiv.org/abs/1610.00540

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