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On the Fontaine–Mazur Conjecture for CM-Fields

✍ Scribed by Kay Wingberg


Book ID
110338510
Publisher
Cambridge University Press
Year
2002
Tongue
English
Weight
132 KB
Volume
131
Category
Article
ISSN
0010-437X

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📜 SIMILAR VOLUMES


On the Fontaine–Mazur Conjecture for Num
✍ Joshua Brandon Holden 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 339 KB

The Fontaine Mazur Conjecture for number fields predicts that infinite l-adic analytic groups cannot occur as the Galois groups of unramified l-extensions of number fields. We investigate the analogous question for function fields of one variable over finite fields, and then prove some special cases

Some Cases of the Fontaine–Mazur Conject
✍ Nigel Boston 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 101 KB

We prove more special cases of the Fontaine Mazur conjecture regarding p-adic Galois representations unramified at p, and we present evidence for and consequences of a generalization of it. ## 1999 Academic Press Conjecture 1 (Fontaine, Mazur). There do not exist a number field K and an infinite e