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arxiv: 1212.4404 · v1 · pith:M47LXUIOnew · submitted 2012-12-18 · 🧮 math.AG

The H_N filtration of bundles as Frobenius pull-back

classification 🧮 math.AG
keywords frobeniusalgebraicanswerbiggerbundlebundlescharacteristicclosed
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Let X be a smooth projective curve over an algebraic closed field of characteristic p and F be the Frobenius morphism of X. Here, I give a negative answer to the guess that the length of the Harder-Narasimhan of F*W is not bigger than p, where W is a semistable bundle on X.

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