Skew-symmetric pairing on polynomial formal modules
- Authors: Vostokov S.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 38, No 1 (2017)
- Pages: 170-176
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198848
- DOI: https://doi.org/10.1134/S1995080217010206
- ID: 198848
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Abstract
Let K be a local field, OK be the ring of integers of K, c be a unit in OK, and Fc (X, Y) = X + Y + cXY be a polynomial formal group law. Let Fc(mK) be the formal module defined by Fc(X, Y) on the maximal ideal of OK and [pn]Fc (X) be an isogeny of Fc. In the present paper, we give an explicit construction of a pairing (,)c: Fc(mK) × Fc(mK) → Ker[pn]Fc generalizing the classical Hilbert pairing.
Keywords
About the authors
S. Vostokov
St. Petersburg State University
Author for correspondence.
Email: sergei.vostokov@gmail.com
Russian Federation, Universitetskaya nab. 7/9, St. Petersburg, 199034