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The Grothendieck ring of the structure group of the geometric Frobenius morphism (1211.6897v1)
Published 29 Nov 2012 in math.RT, math.AG, and math.KT
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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