A non-selfdual 4-dimensional Galois representation

Jasper Scholten

A non-selfdual 4-dimensional Galois representation

Number Theory 2007-05-23 v1

Authors: Jasper Scholten

Abstract

In this paper it is explained how one can construct non-selfdual 4-dimensional $\ell$ -adic Galois representations of Hodge type $h^{3,0}=h^{2,1}=h^{1,2}=h^{0,3}=1$ , assuming a hypothesis concerning the cohomology of a certain threefold. For one such a representation the first 80000 coefficients of its $L$ -function are computed, and it is numerically verified that this $L$ -function satisfies a functional equation. Also a candidate for the conductor is obtained.

Keywords

galois representations galois theory automorphic representations

Cite

@article{arxiv.math/9905219,
  title  = {A non-selfdual 4-dimensional Galois representation},
  author = {Jasper Scholten},
  journal= {arXiv preprint arXiv:math/9905219},
  year   = {2007}
}

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