ARITHMETIC OF DIVISION FIELDS

作者：Brumer Armand^*; Kramer Kenneth

来源：Proceedings of the American Mathematical Society, 2012, 140(9): 2981-2995.

DOI：10.1090/S0002-9939-2012-11500-X

• Semistable Galois representation
• transvection
• stem field discriminant
• bounded ramification

We study the arithmetic of division fields of semistable abelian varieties A(/Q). The Galois group of Q(A[2])/Q is analyzed when the conductor of A is odd and squarefree. The irreducible semistable mod 2 representations of small conductor are determined under GRH. These results are used in our paper Paramodular abelian varieties of odd conductor.

• 出版日期2012-9