If X is smooth and equidimensional, this formula can be rewritten in terms of the " arithmetic Frobenius " \ Phi _ q, which acts as the inverse of F _ q on cohomology:
12.
If a scheme is �tale ) over Spec " k " for some field " k ", then every " connected " component ( which is then in fact an irreducible component ), is equidimensional.
13.
The structure is thought to result from the interplay of passive flattening and rotation of grains in a non-coaxial flow field on one hand and recrystallisation opposes this by forming new equidimensional grains free of strain ( by grain boundary migration ); in order to achieve strain-free grains, a part of the developing shape fabric simultaneously must be destroyed.
