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Lobachevskii Journal of Mathematics

, Volume 39, Issue 9, pp 1400–1402 | Cite as

Power Filtration on Morphisms of Formal Group Law

  • I. I. Nekrasov
Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
  • 2 Downloads

Abstract

The height filtration on the stack of formal groups \(\mathcal{M}\)FG is well known. We explore analogous filtration on a set of morphisms of formal group laws, which extends to the stack \(\mathcal{M}\)FG. It is correctly defined colimit object for this filtration which can be identified with the colimit \(\mathcal{M}\)FG,∞. As a corollary we prove explicitly density of additive formal group in any group law.

Keywords and phrases

formal group laws height filtration 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Chebyshev LaboratorySt. Petersburg State UniversitySt. PetersburgRussia

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