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arXiv · 1301.1424

On the compositum of wildly ramified extensions

Manish Kumar
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Abstract

We compute the ramification filtration on wildly ramified $p^2$-cyclic extensions of local fields of characteristic $p$. The ramification filtration on the compositum of two $p$-cyclic and $p^2$-cyclic extensions are also computed. As an application, some partial results towards Abhyankar's Inertia conjecture has been proved.

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Manish Kumar. 2013-01-08. On the compositum of wildly ramified extensions. https://arxiv.org/abs/1301.1424

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