Email this article Power Filtration on Morphisms of Formal Group Law
- Authors: Nekrasov I.I.1
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Affiliations:
- Chebyshev Laboratory
- Issue: Vol 39, No 9 (2018)
- Pages: 1400-1402
- Section: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
- URL: https://journals.rcsi.science/1995-0802/article/view/203429
- DOI: https://doi.org/10.1134/S1995080218090287
- ID: 203429
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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.
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About the authors
I. I. Nekrasov
Chebyshev Laboratory
Author for correspondence.
Email: geometr.nekrasov@yandex.ru
Russian Federation, St. Petersburg, 199178
