On the compositum of wildly ramified extensions

Manish Kumar

On the compositum of wildly ramified extensions

Number Theory 2013-01-09 v1 Algebraic Geometry

Authors: Manish Kumar

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.

Keywords

wildly ramified extensions ramification filtration local fields cyclic extensions compositum Abhyankar's inertia conjecture

Cite

@article{arxiv.1301.1424,
  title  = {On the compositum of wildly ramified extensions},
  author = {Manish Kumar},
  journal= {arXiv preprint arXiv:1301.1424},
  year   = {2013}
}

Comments

12 pages

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