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

Content Provider	Scilit
Author	Liu, Tong
Copyright Year	2008
Description	Journal: Compositio Mathematica 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}.
Ending Page	88
Starting Page	61
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x0700317x
Journal	Compositio Mathematica
Issue Number	1
Volume Number	144
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2008-01-01
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Mathematical Physics Strongly Divisible Lattices. 1 . P-adic Representations Equivalence of Categories Galois Representation
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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