Our characterization of the Igusa curves will depend on the isogeny invariance of the p-adic Galois character associated to an elliptic curve in characteristic p.
N] maps the triple [mathematical Expressions Omitted] onto [Mathematical Expressions Omitted], where [Mathematical Expressions Omitted] is the isogeny which is dual to [phi].
This isogeny invariance property of the character [[chi].
0] have an isogeny invariance property similar to that of the Igusa extension [K.
xi]] is an isogeny
, if I'((D) is defined as in the remark after Theorem 3, then the absolute convergence of I'([phi]) for every [phi] in S([X.
The Isogeny Theorem due to Faltings (, [section]5 Korollar 2) implies that
Then the Isogeny Theorem (see [section]1) implies that [V.
g,n] of principally polarized abelian F-varieties with level n structure; we will be especially concerned with understanding from this viewpoint the isogeny equivalence relation on [A.
So we are provided with an equivalence relation on F called isogeny.
Let x [element of] F be a point on the line and denote by I(x) [subset] F the isogeny class of x (set of all y [element of] F isogenous to x).
Ono [12,17] whose study of the behavior of [tau] under an isogeny
explains the presence of Pic(H), and reduces the semisimple case to the simply connected case.
2) the composition with an isogeny
[rho] in such a way that [A.