Skew-symmetric pairing on polynomial formal modules
- 作者: Vostokov S.1
-
隶属关系:
- St. Petersburg State University
- 期: 卷 38, 编号 1 (2017)
- 页面: 170-176
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198848
- DOI: https://doi.org/10.1134/S1995080217010206
- ID: 198848
如何引用文章
详细
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.
作者简介
S. Vostokov
St. Petersburg State University
编辑信件的主要联系方式.
Email: sergei.vostokov@gmail.com
俄罗斯联邦, Universitetskaya nab. 7/9, St. Petersburg, 199034