Rocky Mountain Journal of Mathematics

The ramification filtration in certain $p$-extensions

Chandan Singh Dalawat

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We show that the recent result of Castañeda and Wu regarding 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 is local, conceptual, natural, and shorter.

Article information

Rocky Mountain J. Math., Volume 49, Number 2 (2019), 487-492.

Received: 15 June 2018
Revised: 18 July 2018
First available in Project Euclid: 23 June 2019

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11S15: Ramification and extension theory

local fields abelian extensions of exponent $p$ ramification filtration upper ramification breaks


Dalawat, Chandan Singh. The ramification filtration in certain $p$-extensions. Rocky Mountain J. Math. 49 (2019), no. 2, 487--492. doi:10.1216/RMJ-2019-49-2-487.

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  • L. Capuano and I. Del Corso, Upper ramification jumps in abelian extensions of exponent $p$, Riv. Mat. Univ. Parma 6 (2015), 317–329.
  • J. Castañeda and Q. Wu, The ramification group filtrations of certain function field extensions, Pacific J. Math. 276 (2015), 309–320.
  • C.S. Dalawat, Local discriminants, kummerian extensions, and elliptic curves, J. Ramanujan Math. Soc. 25 (2010), 25–80.
  • ––––, Further remarks on local discriminants, J. Ramanujan Math. Soc. 25 (2010), 393–417.
  • ––––, Final remarks on local discriminants, J. Ramanujan Math. Soc. 25 (2010), 419–432.
  • J.-P. Serre, Corps locaux, Publ. Univ. Nancago 8 (1968).