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arxiv: 1310.4704 · v2 · pith:RBB3QMMFnew · submitted 2013-10-17 · 🧮 math.AG

On a question of Mehta and Pauly

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keywords mathcalmehtapaulyquestionanswersarxivbundlecertain
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In this short note we provide explicit examples in characteristic $p$ on certain smooth projective curves where for a given semistable vector bundle $\mathcal{E}$ the length of the Harder-Narasimhan filtration of $F^\ast \mathcal{E}$ is longer than $p$. This answers a question of Mehta and Pauly raised in arXiv:math/0607565.

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