“…Let β be a Riemann form for A. Then there exists a unique k-hermitian form H on [2,6,7,11,14,22] Let A be an abelian variety over C, and k a subfield of End Q (A). Let m be the dimension of V := H 1 (A, Q) considered as a vector space over k. Then m k V is a 1-dimensional vector space over k on which GL(V /k) acts as the determinant.…”