On a question of Mehta and Pauly

preprint2015arXivOpen access

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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On a question of Mehta and Pauly

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