On the classification of geometric families of 4-dimensional Galois representations

Autor:	Dieulefait, Luis, Vila, Nuria
Rok vydání:	2008
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We give a classification theorem for certain four-dimensional families of geometric $\lambda$-adic Galois representations attached to a pure motive. More precisely, we consider families attached to the cohomology of a smooth projective variety defined over $\Q$ with coefficients in a quadratic imaginary field, non-selfdual and with four different Hodge-Tate weights. We prove that the image is as large as possible for almost every $\lambda$ provided that the family is irreducible and not induced from a family of smaller dimension. If we restrict to semistable families an even simpler classification is given. A version of the main result is given for the case where the family is attached to an automorphic form. Comment: A few details added in the proof of the main result
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0810.2203 Zobrazit plný text záznamu View this record from Arxiv