| Publication type: |
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Article in peer-reviewed journal |
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| Subject: |
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Mathematics/Number Theory
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| Title: |
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Some bounds for ramification of p^n-torsion semi-stable representations |
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| Author(s): |
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Xavier Caruso ( ) 1, Tong Liu () 2 |
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| Laboratory: |
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| Abstract: |
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Let p be an odd prime, K a finite extension of Q_p , G_K = Gal(Kbar/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 in {0, ..., r}. We prove that there exists a constant mu depending only on n, e and r such that the upper numbering ramification group G_K^(mu) acts on T trivially. |
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| Fulltext language: |
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English |
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| Journal: |
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| Journal of Algebra (J. Algebra) |
| Publisher |
Elsevier |
| ISSN |
0021-8693 (eISSN : 1090-266X) |
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| Audience: |
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international |
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| Publication date: |
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2011 |
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| Volume: |
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325 |
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| Page, identifiant, ...: |
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70-96 |
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| Keyword(s): |
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p-adic representations – ramification |
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| Classification: |
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14F30 |
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| Comment: |
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29 pages |
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| Internal note: |
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2008-34 |
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