Determinants of subquotients of Galois representations associated with abelian varieties
Determinants of subquotients of Galois representations associated with abelian varieties
Abstract Given an abelian variety $A$ of dimension $g$ over a number field $K$ , and a prime $\ell $ , the ${\ell }^{n} $ -torsion points of $A$ give rise to a representation ${\rho }_{A, {\ell }^{n} } : \mathrm{Gal} ( \overline{K} / K)\rightarrow {\mathrm{GL} }_{2g} ( \mathbb{Z} / …