Arithmetic of Division Fields

Details Arithmetic of Division Fields Arithmetic of Division Fields

2011-02-22

arxiv.org/abs/1102.4557v1

Mathematics

Number Theory

Scientific paper

We study the arithmetic of division fields of semistable abelian varieties A
over the rationals. The Galois group of the 2-division field of A is analyzed
when the conductor is odd and squarefree. The irreducible semistable mod 2
representations of small conductor are determined under GRH. These results are
used in "Paramodular abelian varieties of odd conductor," arXiv:1004.4699.

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