title: Higher criteria for the regularity of a one-dimensional local field
metadata.name: dc.contributor.author
metadata.value: Vostokov, Sergei V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Pital’, Petr N.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Polyakov, Vladimir M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-07-07T21:22:28Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-07-07T21:22:28Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Vostokov S.V., Pital’ P.N., Polyakov V. M. Higher criteria for the regularity of a one-dimensional local field. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 2, pp. 229–244.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.205
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/37103
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The concept of irregularity of formal modules in one-dimensional local fields is considered.
  A connection is obtained between the irregularity of all unramified extensions M/L and
  the ramification index eL/K for a sufficiently wide class of formal groups. The notion of
  s-irregularity for natural s is introduced (generalization of the notion of irregularity to the
  case of roots [πs]), and similar criteria for irregularity are proved for it for the case of
  generalized and relative formal Lubin—Tate modules.
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 9 (67); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: regular formal modules
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: formal modules
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: formal groups
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: local fields
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Higher criteria for the regularity of a one-dimensional local field
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 229-244.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/37103/1/229-244.pdf
resources.format: Adobe PDF
resources.size: 351,94 kB