The Grothendieck ring of the structure group of the geometric Frobenius morphism

Severitt, Markus

doi:10.1090/S0002-9947-2014-06026-1

The Grothendieck ring of the structure group of the geometric Frobenius morphism
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by Markus Severitt PDF

Trans. Amer. Math. Soc. 366 (2014), 5295-5322 Request permission

Abstract:

The geometric Frobenius morphism on smooth varieties is an fppf-fiber bundle. We study representations of the structure group scheme. In particular, we describe irreducible representations and compute its Grothendieck ring of finite dimensional representations.

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