22/01/04 20:28:12.62 frZcmJTe.net
>>741
つづき
P17
Remark about the Hodge Theatre
We have seen that some examples of the following pattern: one has a
Frobeniod F over the base category D, thus also a functor F → D. Then
we construct various objects from F and D and connection between them
(Kummer theory and cyclotomic rigidity).
In fact, the Hodge Theatre is also has this type of structure, where D is
now a collection of base categories, similarly F is a collection of
Frobenioids. Elements of this collections are linked by various natural
functors (e.g., localization) and the whole structure possesses certain
symmetries.
Thus, (very roughly!) one may think of the Hodge Theatre as a
globalization of local pieces of the form GKv → OKv and Fv.
(引用終り)
以上