Existence of families of Galois representations and new cases of the Fontaine-Mazur conjecture
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| 024 | 7 | 0 | |a 10.1515/crll.2004.2004.577.147 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/crll.2004.2004.577.147 | ||
| 100 | 1 | |a Dieulefait |D Luis V. |u 1. Barcelona. | |
| 245 | 1 | 0 | |a Existence of families of Galois representations and new cases of the Fontaine-Mazur conjecture |h [Elektronische Daten] |c [Luis V. Dieulefait] |
| 520 | 3 | |a In a previous article, we have proved a result asserting the existence of a compatible family of Galois representations containing a given crystalline irreducible odd two-dimensional representation. We apply this result to establish new cases of the Fontaine-Mazur conjecture, namely, an irreducible Barsotti-Tate λ-adic 2-dimensional Galois representation unramified at 3 and such that the traces ap of the images of Frobenii verify ℚ({a2 p}) = ℚ always comes from an abelian variety. We also show the non-existence of irreducible Barsotti-Tate 2-dimensional Galois representations of conductor 1 and apply this to the irreducibility of Galois representations on level 1 genus 2 Siegel cusp forms. | |
| 540 | |a © Walter de Gruyter | ||
| 690 | 7 | |a Grammar, syntax, linguistic structure |2 nationallicence | |
| 690 | 7 | |a Phonetics, phonology, prosody |2 nationallicence | |
| 690 | 7 | |a Historical & comparative linguistics |2 nationallicence | |
| 773 | 0 | |t Journal für die reine und angewandte Mathematik (Crelles Journal) |d Walter de Gruyter |g 2004/577(2004-11-30), 147-151 |x 0075-4102 |q 2004:577<147 |1 2004 |2 2004 |o crll | |
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| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/crll.2004.2004.577.147 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Dieulefait |D Luis V. |u 1. Barcelona | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal für die reine und angewandte Mathematik (Crelles Journal) |d Walter de Gruyter |g 2004/577(2004-11-30), 147-151 |x 0075-4102 |q 2004:577<147 |1 2004 |2 2004 |o crll | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||