Skew-symmetric pairing on polynomial formal modules
- Autores: Vostokov S.1
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Afiliações:
- St. Petersburg State University
- Edição: Volume 38, Nº 1 (2017)
- Páginas: 170-176
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198848
- DOI: https://doi.org/10.1134/S1995080217010206
- ID: 198848
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Resumo
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.
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Sobre autores
S. Vostokov
St. Petersburg State University
Autor responsável pela correspondência
Email: sergei.vostokov@gmail.com
Rússia, Universitetskaya nab. 7/9, St. Petersburg, 199034