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arXiv · 1311.4009

Subtle Invariants of $F$-crystals

Xiao Xiao
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Abstract

Vasiu proved that the level torsion $\ell_{\mathcal{M}}$ of an $F$-crystal $\mathcal{M}$ over an algebraically closed field of characteristic $p>0$ is a non-negative integer that is an effectively computable upper bound of the isomorphism number $n_{\mathcal{M}}$ of $\mathcal{M}$ and expected that in fact one always has $n_{\mathcal{M}} = \ell_{\mathcal{M}}$. In this paper, we prove that this equality holds.

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Xiao Xiao. 2014-11-05. Subtle Invariants of $F$-crystals. https://arxiv.org/abs/1311.4009

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