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arXiv · 1508.02228

The ramification filtration in certain $p$-extensions

Chandan Singh Dalawat
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Abstract

We show that the recent result of Casta\~neda and Wu about the ramification filtration in certain $p$-extensions of function fields of prime characteristic $p$ is equally valid over local fields of mixed characteristic $(0,p)$. Apart from being applicable to both equicharacteristic and mixed characteristic cases, our method has the advantage of being purely local, purely conceptual, more natural, and much shorter.

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Chandan Singh Dalawat. 2015-08-10. The ramification filtration in certain $p$-extensions. https://arxiv.org/abs/1508.02228

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