English

The ramification filtration in certain $p$-extensions

Number Theory 2015-08-18 v2

Abstract

We show that the recent result of Casta\~neda and Wu about the ramification filtration in certain pp-extensions of function fields of prime characteristic pp is equally valid over local fields of mixed characteristic (0,p)(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.

Cite

@article{arxiv.1508.02228,
  title  = {The ramification filtration in certain $p$-extensions},
  author = {Chandan Singh Dalawat},
  journal= {arXiv preprint arXiv:1508.02228},
  year   = {2015}
}

Comments

5 pages, reorganised, filled in the details, and wrote a summary

R2 v1 2026-06-22T10:29:57.354Z