Calculations in generalised Lubin—Tate theory

Authors

  • Sergei V. Vostokov St. Petersburg State University
  • Ekaterina O. Leonova St. Petersburg State University

Abstract

-

Keywords:

maximal unramified extension, formal group law

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References

1. Teruyoshi Y. Local class field theory via Lubin - Tate theory // Annales de la faculte des sciences de Toulouse Mathematiques. 2008. Vol. 17, no. 2. P. 411-438.

2. Iwasawa K. Local class field theory. Oxford Science Publications, The Clarendon Press Oxford University Press, 1986.

3. Madunts A. I., Vostokova R. P. Formal modules for generalized Lubin - Tate groups // Journal of Mathematical Sciences (New York). 2016. Vol. 219, no. 4. P. 553-564.

4. Lubin J., Tate J. Formal complex multiplication in local fields // Annals of Mathematics, Second Series. 1965. Vol. 81. P. 380-387.

5. De Shalit E. Relative Lubin - Tate groups // Proceedings of the American Mathematical Society, 1985.

6. Riehl E. Lubin - Tate formal groups and local class field theory. Bachelor thesis at Harvard University, 2008.

7. Hazewinkel M. Formal groups and application. In: Pure and applied mathematics, a series of monographs and textbooks. Vol. 78. Academic Press, 1978.

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Published

2020-08-15

How to Cite

Vostokov, S. V., & Leonova, E. O. (2020). Calculations in generalised Lubin—Tate theory. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7(2), 210–216. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/8370

Issue

Vol. 7 No. 2 (2020)

Section

On the anniversary of A. I. Generalov

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.

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