title: Arithmetic of hyperbolic formal modules
metadata.name: dc.contributor.author
metadata.value: Vostokova, Regina P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Pital’, Petr N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-09-28T15:36:55Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-09-28T15:36:55Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Vostokova R.P., Pital’ P. N. Arithmetic of hyperbolic formal modules. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, 2016, vol. 3 (61), issue 3, pp. 384–392.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2016.305
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/3907
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper considers hyperbolic formal groups which come out from the elliptic curve theory from the point
  of view of the theory of formal modules. The first part of the paper considers characteristics of hyperbolic
  formal groups, certain formulas for the formal logarithm and exponent are given, and convergence is
  scrutinized. Part two gives us the definition for p-typical logarithm; isogeny, its height and kernel are
  found. Further on Artin—Hasse function and Vostokov function were constructed, both correctness and
  their main features were checked.
  Using these constructions primary elements in this kind of formal modules can be easily built, which
  are useful for constructing the Shafarevich basis. As a natural way of evolution, pairing on the hyperbolic
  formal modules can be explored. To sum up, this is the very first step of deriving explicit formula for Hilbert
  pairing on these kind of formal modules. The research is to be continued in this particular direction. Refs 4.
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;Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: hyperbolic 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.title
metadata.value: Arithmetic of hyperbolic formal modules
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Vostokova.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/3907/1/Vostokova.pdf
resources.format: Adobe PDF
resources.size: 243,12 kB