Ramification in Elementary Abelian Extensions

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Ramification in Elementary Abelian Extensions. / Zhukov, I. B.

In: Journal of Mathematical Sciences (United States), Vol. 202, No. 3, 01.01.2014, p. 404-409.

Research output: Contribution to journal › Article › peer-review

Author

Zhukov, I. B. / Ramification in Elementary Abelian Extensions. In: Journal of Mathematical Sciences (United States). 2014 ; Vol. 202, No. 3. pp. 404-409.

BibTeX

@article{1e0f455cc470447196b65c7f092efaba,

title = "Ramification in Elementary Abelian Extensions",

abstract = "The paper is devoted to some properites of ramification invariants in infinite Abelian extensions of exponent p for a class of complete discrete valuation fields that includes 2-dimensional local fields of prime characteristic p. In particular, it is proved that the maximal such extension with a prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed.",

author = "Zhukov, {I. B.}",

year = "2014",

month = jan,

day = "1",

doi = "10.1007/s10958-014-2050-5",

language = "English",

volume = "202",

pages = "404--409",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "3",

}

RIS

TY - JOUR

T1 - Ramification in Elementary Abelian Extensions

AU - Zhukov, I. B.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - The paper is devoted to some properites of ramification invariants in infinite Abelian extensions of exponent p for a class of complete discrete valuation fields that includes 2-dimensional local fields of prime characteristic p. In particular, it is proved that the maximal such extension with a prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed.

AB - The paper is devoted to some properites of ramification invariants in infinite Abelian extensions of exponent p for a class of complete discrete valuation fields that includes 2-dimensional local fields of prime characteristic p. In particular, it is proved that the maximal such extension with a prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed.

UR - http://www.scopus.com/inward/record.url?scp=84919913867&partnerID=8YFLogxK

U2 - 10.1007/s10958-014-2050-5

DO - 10.1007/s10958-014-2050-5

M3 - Article

AN - SCOPUS:84919913867

VL - 202

SP - 404

EP - 409

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 51971982