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Durham University

Department of Mathematical Sciences

Academic Staff

Publication details for Victor Abrashkin

Abrashkin, V. (2015). Ramification estimate for Fontaine-Laffaille Galois modules. Journal of Algebra 427: 319-328.

Author(s) from Durham


Suppose K is unramified over Qp and View the MathML source. Let H be a torsion ΓK-equivariant subquotient of crystalline Qp[ΓK]-module with HT weights from [0,p−2]. We give a new proof of Fontaine's conjecture about the triviality of action of some ramification subgroups View the MathML source on H. The earlier author's proof from [1] contains a gap and proves this conjecture only for some subgroups of index p in View the MathML source.