title: Regular formal modules in onedimensional local fields
metadata.name: dc.contributor.author
metadata.value: Vlassiev, Sergey M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Vostokov, Sergei V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Gorshkov, Andrei A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-01-05T17:27:03Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-01-05T17:27:03Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Vlassiev S.M., Vostokov S.V., Gorshkov A.A. Regular formal modules in onedimensional local fields. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, 2016, vol. 3 (61), issue 4, pp. 544–551.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2016.403
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/5894
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Studies of regular local fields were started in 1962 in Z. I. Borevich’s article during his work on tamely
  ramified extensions. This article generalizes an idea of local fields regularity in terms of formal groups
  and corresponding formal modules. The article considers formal group over a ring of integers of a local
  field (finite extension of p-adic numbers) and a formal module built via this formal group over a ring of
  integers’ maximal ideal. To be regular formal module should not contain non-trivial roots of isogeny of
  corresponding formal group. The article describes totally regular in terms of formal groups local fields,
  i.e. fields, which are together with all their unramified extensions are regular in terms of formal group.
  Original Borevich’s work may be considered as a solution for a case of multiplicative formal groups. This
  paper is the next step that provides description for totally regular local fields and corresponding formal
  modules in cases of polynomial formal groups, Lubin-Tate formal groups and Honda formal groups. When
  classification in special cases was received new problems have been stated in the article, e.g. regular and
  totally regular modules description in multi-dimensional case. Refs 6.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (грант №14-01-00393).
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. Series 1. Mathematics. Mechanics. Astronomy;Vol. 3 (61); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: local field
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: totally regular local field
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: formal module
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: formal group
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Regular formal modules in onedimensional local fields
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03-Vlasjev.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/5894/1/03-Vlasjev.pdf
resources.format: Adobe PDF
resources.size: 244,41 kB