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Modular units and the surjectivity of a Galois representation

✍ Scribed by David E. Rohrlich

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
296 KB
Volume
107
Category
Article
ISSN
0022-314X

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✦ Synopsis

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 obtained by specializing the modular invariant to a rational number have large image.

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