title: Degeneration of the Hilbert pairing in formal groups over local fields
metadata.name: dc.contributor.author
metadata.value: Vostokov, Sergey V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Vostokova, Regina P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Podkopaeva, Oksana Yu.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-09-01T15:08:29Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-09-01T15:08:29Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-03
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/3837
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: For an arbitrary local field K (a finite extension of the field Qp) and an arbitrary formal group
  law F over K, we consider an analog cF of the classical Hilbert pairing. A theorem by S. V. Vostokov
  and I. B. Fesenko says that if the pairing cF has a certain fundamental symbol property for all
  Lubin—Tate formal groups, then cF = 0. We generalize the theorem of Vostokov—Fesenko to a wider
  class of formal groups. Our first result concerns formal groups that are defined over the ring OK of
  integers of K and have a fixed ring O0 of endomorphisms, where O0 is a subring of OK. We prove
  that if the symbol cF has the above-mentioned symbol property, then cF = 0. Our second result
  strengthens the first one in the case of Honda formal groups. The paper consists of three sections.
  After a short introduction in Sec. 1, we recall basic definitions and facts concerning formal group
  laws in Sec. 2. In Sec. 3, we state and prove two main results of the paper (Theorems 1 and 2).
  Refs 8.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (грант №14-01-00393) и правительства
  РФ (грант 14.Z50.31.0016).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: formal group
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: isogeny
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: formal module
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Hilbert pairing
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Degeneration of the Hilbert pairing in formal groups over local fields
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Vostokov_Vostokova_et_al.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/3837/1/Vostokov_Vostokova_et_al.pdf
resources.format: Adobe PDF
resources.size: 265,9 kB