title: Hilbert pairing on Lorentz formal group
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.date.accessioned
metadata.value: 2017-07-18T16:27:18Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-07-18T16:27:18Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Vostokov S.V., Pital’ P.N. Hilbert pairing on Lorentz formal group. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 2, pp. 201–207.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.203
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6942
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, we construct explicit pairing in Cartier series for formal Lorentz groups of the form:
  (X + Y + XY )/(1 + c2XY ), where c is unit of the ring of integers of the local field. At the same time,
  except for trivial properties such as bilinearity we prove important property  invariance, i. e. independence
  from selecting a variable. These properties, with the aid of pairing above, allow us to explicitly construct
  the generalized Hilbert symbol for formal Lorentz groups over rings of integers of local fields. In the first
  section of the paper are the basic notation and auxiliary results on endomorphisms of formal module,
  formal logarithm and exponent are constructed. In the second section, we build the main function, which
  plays an important role in the construction of the pairing  an Artin Hasse function. In the last section
  we define Hilbert pairing on modules of Cartier curves explicitly, also we check bilinearity of pairing
  (see lemma 3.1) and variable substitution formula for Artin Hasse function (lemma 3.2). Further in this
  section we prove invariance of the constructed paring regarding variable substitution X = g(Y ). Refs 15.
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 4 (62); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: pairing on formal module
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: formal group law
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Hilbert pairing on Lorentz formal group
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03-Vostokov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6942/1/03-Vostokov.pdf
resources.format: Adobe PDF
resources.size: 244,11 kB