REMARKS ON A CONJECTURE OF FONTAINE AND MAZUR
โ Scribed by Taylor, Richard
- Book ID
- 120023252
- Publisher
- Cambridge University Press
- Year
- 2002
- Tongue
- English
- Weight
- 233 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1474-7480
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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
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