Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 14, Tome 338 (2006), pp. 125-136 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

In this paper for a one-dimensional formal group over the ring of integers of a local field in the case of small ramification, we study arithmetic of the module of roots of the isogeny as well as arithmetic of the formal module constructed on the maximal ideal of a local field containing all the roots of the isogeny.
@article{ZNSL_2006_338_a3,
     author = {S. V. Vostokov and A. N. Zinoviev},
     title = {Arithmetic of the module of roots of the isogeny of a~formal group in the case of small ramification},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {125--136},
     year = {2006},
     volume = {338},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_338_a3/}
}
TY  - JOUR
AU  - S. V. Vostokov
AU  - A. N. Zinoviev
TI  - Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2006
SP  - 125
EP  - 136
VL  - 338
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2006_338_a3/
LA  - ru
ID  - ZNSL_2006_338_a3
ER  - 
%0 Journal Article
%A S. V. Vostokov
%A A. N. Zinoviev
%T Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification
%J Zapiski Nauchnykh Seminarov POMI
%D 2006
%P 125-136
%V 338
%U http://geodesic.mathdoc.fr/item/ZNSL_2006_338_a3/
%G ru
%F ZNSL_2006_338_a3
S. V. Vostokov; A. N. Zinoviev. Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 14, Tome 338 (2006), pp. 125-136. http://geodesic.mathdoc.fr/item/ZNSL_2006_338_a3/

[1] J. Lubin, J. Tate, “Formal complex multiplication in local fields”, Ann. of Math. (2), 81:2 (1985), 380–387 | DOI | MR

[2] T. Honda, “On the theory of commutative formal groups”, J. Math. Soc. Japan, 22:2 (1970), 213–243 | DOI | MR

[3] E. de Shalit, “Relative Lubin-Tate groups”, Proc. Amer. Math. Soc., 95:1 (1985), 1–4 | DOI | MR | Zbl

[4] S. V. Vostokov, “Normennoe sparivanie v formalnykh modulyakh”, Izv. AN SSSR, Ser. matem., 43:4 (1979), 765–794 | MR | Zbl

[5] O. V. Demchenko, “Formalnye gruppy Khondy: arifmetika gruppy tochek”, Algebra i analiz, 12:1 (2000), 132–149 | MR | Zbl

[6] Vostokov S. V., Zinoviev A. N., “Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification” (to appear)