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Cohomology of formal group moduli and deeply ramified extensions. / Bondarko, M. V.

In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 135, No. 1, 01.07.2003, p. 19-24.

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Harvard

Bondarko, MV 2003, 'Cohomology of formal group moduli and deeply ramified extensions', Mathematical Proceedings of the Cambridge Philosophical Society, vol. 135, no. 1, pp. 19-24. https://doi.org/10.1017/S0305004102006485

APA

Bondarko, M. V. (2003). Cohomology of formal group moduli and deeply ramified extensions. Mathematical Proceedings of the Cambridge Philosophical Society, 135(1), 19-24. https://doi.org/10.1017/S0305004102006485

Vancouver

Bondarko MV. Cohomology of formal group moduli and deeply ramified extensions. Mathematical Proceedings of the Cambridge Philosophical Society. 2003 Jul 1;135(1):19-24. https://doi.org/10.1017/S0305004102006485

Author

Bondarko, M. V. / Cohomology of formal group moduli and deeply ramified extensions. In: Mathematical Proceedings of the Cambridge Philosophical Society. 2003 ; Vol. 135, No. 1. pp. 19-24.

BibTeX

@article{afc3479cdbef4258bcfc3d51f611f396,
title = "Cohomology of formal group moduli and deeply ramified extensions",
abstract = "The aim of this paper is to answer a question of Coates and Greenberg: let F be a commutative m-dimensional formal group over the ring of integers of a local field k, and let K be an algebraic extension of k with infinite ramification index. Denote by MR the maximal ideal in the ring of integers of the separable closure of K. Suppose that the height of F is greater than m. Does H1(K, F(Km)) = 0 imply that K is deeply ramified? The answer is positive.",
author = "Bondarko, {M. V.}",
year = "2003",
month = jul,
day = "1",
doi = "10.1017/S0305004102006485",
language = "English",
volume = "135",
pages = "19--24",
journal = "Mathematical Proceedings of the Cambridge Philosophical Society",
issn = "0305-0041",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Cohomology of formal group moduli and deeply ramified extensions

AU - Bondarko, M. V.

PY - 2003/7/1

Y1 - 2003/7/1

N2 - The aim of this paper is to answer a question of Coates and Greenberg: let F be a commutative m-dimensional formal group over the ring of integers of a local field k, and let K be an algebraic extension of k with infinite ramification index. Denote by MR the maximal ideal in the ring of integers of the separable closure of K. Suppose that the height of F is greater than m. Does H1(K, F(Km)) = 0 imply that K is deeply ramified? The answer is positive.

AB - The aim of this paper is to answer a question of Coates and Greenberg: let F be a commutative m-dimensional formal group over the ring of integers of a local field k, and let K be an algebraic extension of k with infinite ramification index. Denote by MR the maximal ideal in the ring of integers of the separable closure of K. Suppose that the height of F is greater than m. Does H1(K, F(Km)) = 0 imply that K is deeply ramified? The answer is positive.

UR - http://www.scopus.com/inward/record.url?scp=0038675200&partnerID=8YFLogxK

U2 - 10.1017/S0305004102006485

DO - 10.1017/S0305004102006485

M3 - Article

AN - SCOPUS:0038675200

VL - 135

SP - 19

EP - 24

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 1

ER -

ID: 49813296