期刊
AMERICAN JOURNAL OF MATHEMATICS
卷 127, 期 4, 页码 709-734出版社
JOHNS HOPKINS UNIV PRESS
DOI: 10.1353/ajm.2005.0026
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Consider a characteristic p representation of the absolute Galois group of the rational numbers. In this paper we show how to deform this representation to the p-adics while guaranteeing that the characteristic polynomials of Frobenius at a density one set of primes are algebraic and pure of specified weight. The resulting representation is ramified at an infinite (density zero) set of primes. As a consequence of the technique of proof we show that one can compatibly lift a mod pq representation. Again, the resulting representation is ramified at infinitely many primes.
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