Abstract
Let p be an odd prime, K a finite extension of Q p , G K = Gal ( K ¯ / K ) its absolute Galois group and e = e ( K / Q p ) its absolute ramification index. Suppose that T is a p n -torsion representation of G K that is isomorphic to a quotient of G K -stable Z p -lattices in a semi-stable representation with Hodge–Tate weights { 0 , … , r } . We prove that there exists a constant μ depending only on n, e and r such that the upper numbering ramification group G K ( μ ) acts on T trivially.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
