Kernels in the category of formal group laws

Oleg Demchenko, Alexander Gurevich

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Fontaine described the category of formal groups over the ring of Witt vectors over a finite field of characteristic p with the aid of triples consisting of the module of logarithms, the Dieudonné module, and the morphism from the former to the latter. We propose an explicit construction for the kernels in this category in term of Fontaine's triples. The construction is applied to the formal norm homomorphism in the case of an unramified extension of ℚp and of a totally ramified extension of degree less or equal than p. A similar consideration applied to a global extension allows us to establish the existence of a strict isomorphism between the formal norm torus and a formal group law coming from L-series.

Original languageAmerican English
Pages (from-to)334-360
Number of pages27
JournalCanadian Journal of Mathematics
Volume68
Issue number2
DOIs
StatePublished - Apr 2016

Bibliographical note

Publisher Copyright:
© Canadian Mathematical Society 2015.

Keywords

  • Dieudonne modules
  • Formal groups
  • Norm tori
  • p-divisible groups

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