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On the images of modular and geometric three-dimensional Galois representations

✍ Scribed by Dieulefait, Luis; Vila, Nuria

Book ID
118226318
Publisher
John Hopkins University Press
Year
2004
Tongue
English
Weight
439 KB
Volume
126
Category
Article
ISSN
0002-9327

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πŸ“œ SIMILAR VOLUMES

Modular units and the surjectivity of a
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✍ David E. Rohrlich πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 296 KB

For a prime pX7 the pth roots of certain modular units are shown to generate the second layer of the extension of function fields cut out by the universal Galois deformation of the representation on p-division points of a universal elliptic curve. It follows that certain Galois representations obtai

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We show how the problem of determining the possible Artin conductors and determinant characters of liftings of a given 2-dimensional (irreducible) projective Galois representation over Q can be reduced to certain analogous local problems, and we solve those problems. By this, the problem of determin