On lattices in semi-stable representations: a proof of a conjecture of Breuil

Publisher： Cambridge University Press

E-ISSN： 1570-5846|144|1|61-88

ISSN： 0010-437x

Source： Compositio Mathematica, Vol.144, Iss.1, 2008-01, pp. : 61-88

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

For p≥3 an odd prime and a nonnegative integer r≤p−2, we prove a conjecture of Breuil on lattices in semi-stable representations, that is, the anti-equivalence of categories between the category of strongly divisible lattices of weight r and the category of Galois stable $\mathbb {Z}_p$-lattices in semi-stable p-adic Galois representations with Hodge–Tate weights in {0,…,r}.

Related content

Completely semi-stable trees

By  

Bulletin of the Australian Mathematical Society, Vol. 9, Iss. 3, 1973-12 ,pp. : 355-362 (8)

Cambridge University Press

Access to resources Recommend Favorite

A geometric perspective on the Breuil–Mézard conjecture

By  

Journal of the Institute of Mathematics of Jussieu, Vol. 13, Iss. 1, 2014-01 ,pp. : 183-223 (41)

Cambridge University Press

Access to resources Recommend Favorite

Log Structures on Generalized Semi-Stable Varieties

By Li Ting  

Acta Mathematica Sinica, Vol. 23, Iss. 7, 2007-07 ,pp. : 1217-1232 (16)

Springer Publishing Company

Access to resources Recommend Favorite

Generalized Chow Forms and Reduction of Semi-Stable Varieties

By Tian Qingchun  

Acta Mathematica Sinica, Vol. 16, Iss. 2, 2000-04 ,pp. : 219-228 (10)

Springer Publishing Company

Access to resources Recommend Favorite

Stable Runge-Kutta integrations for differential systems with semi-stable equilibria

By González-Pinto S.   Hernández-Abreu D.  

Numerische Mathematik, Vol. 97, Iss. 3, 2004-05 ,pp. : 473-491 (19)

Springer Publishing Company

Access to resources Recommend Favorite