title: Analogue of the Chiodo inequality for the ramification depth in the case of degree p2 extensions
metadata.name: dc.contributor.author
metadata.value: Vostokov, Sergei V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Haustov, Nikolay V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Zhukov, Igor B.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Ivanova, Olga Yu.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Afanas’eva, Sofia S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-07-12T19:25:56Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-07-12T19:25:56Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Vostokov S.V., Haustov N.V., Zhukov I.B., Ivanova O.Yu., Afanas’eva S. S. Analogue of the Chiodo inequality for the ramification depth in the case of degree p2 extensions. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 2, pp. 189–200.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2018.202
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/10399
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper we study the ramification in extensions of complete discrete valuation fields.
  In the perfect residue field case, there is a classical theory of ramification groups due
  to J. P. Serre. A. Chiodo introduced the notion of ramification depth, which is close to the
  classical notion of different. He also obtained an inequality, which pointed out a fundamental
  relation between the ramification depth in a cyclotomic extension of degree p2 with the
  ramification depth in a subextension of degree p. In the present paper we focus on the case
  of the degree p2 extension, which is a composit field of two degree p extensions.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РНФ (грант №1716-11-10200).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 5(63); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: Chiodo inequality
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ramification depth
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Analogue of the Chiodo inequality for the ramification depth in the case of degree p2 extensions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 02-Vostokov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/10399/1/02-Vostokov.pdf
resources.format: Adobe PDF
resources.size: 328,04 kB