^Koch, Helmut (2013). "Fontaine-Mazur Conjecture". Galois theory of p-extensions. Springer Science & Business Media. p. 180. ISBN9783662049679.
^Calegari, Frank (2011). "Even Galois representations and the Fontaine–Mazur conjecture" (PDF). Inventiones Mathematicae. 185 (1): 1–16. arXiv:1012.4819. Bibcode:2011InMat.185....1C. doi:10.1007/s00222-010-0297-0. S2CID 8937648. arXiv preprint
Fontaine, Jean-Marc; Mazur, Barry (1995), "Geometric Galois representations", in Coates, John; Yau., S.-T. (eds.), Elliptic curves, modular forms, & Fermat's last theorem (Hong Kong, 1993), Series in Number Theory, vol. 1, Int. Press, Cambridge, MA, pp. 41–78, ISBN978-1-57146-026-4, MR 1363495
Dieulefait, Luis V. (2004). "Existence of families of Galois representations and new cases of the Fontaine-Mazur conjecture". Journal für die reine und angewandte Mathematik (Crelle's Journal). 2004 (577). arXiv:math/0304433. Bibcode:2003math......4433D. doi:10.1515/crll.2004.2004.577.147. S2CID 16949796.
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fontaine, mazur, conjecture, mathematics, some, conjectures, introduced, fontaine, mazur, 1995, about, when, adic, representations, galois, groups, number, fields, constructed, from, representations, étale, cohomology, groups, varieties, some, cases, this, con. In mathematics the Fontaine Mazur conjectures are some conjectures introduced by Fontaine and Mazur 1995 about when p adic representations of Galois groups of number fields can be constructed from representations on etale cohomology groups of a varieties 1 2 Some cases of this conjecture in dimension 2 were already proved by Dieulefait 2004 References edit Koch Helmut 2013 Fontaine Mazur Conjecture Galois theory of p extensions Springer Science amp Business Media p 180 ISBN 9783662049679 Calegari Frank 2011 Even Galois representations and the Fontaine Mazur conjecture PDF Inventiones Mathematicae 185 1 1 16 arXiv 1012 4819 Bibcode 2011InMat 185 1C doi 10 1007 s00222 010 0297 0 S2CID 8937648 arXiv preprint Fontaine Jean Marc Mazur Barry 1995 Geometric Galois representations in Coates John Yau S T eds Elliptic curves modular forms amp Fermat s last theorem Hong Kong 1993 Series in Number Theory vol 1 Int Press Cambridge MA pp 41 78 ISBN 978 1 57146 026 4 MR 1363495 Dieulefait Luis V 2004 Existence of families of Galois representations and new cases of the Fontaine Mazur conjecture Journal fur die reine und angewandte Mathematik Crelle s Journal 2004 577 arXiv math 0304433 Bibcode 2003math 4433D doi 10 1515 crll 2004 2004 577 147 S2CID 16949796 External links editRobert Coleman s lectures on the Fontaine Mazur conjecture nbsp This abstract algebra related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Fontaine Mazur conjecture amp oldid 1141905893, wikipedia, wiki, book, books, library,
