Descent for Shimura Varieties
نویسنده
چکیده
Wildeshaus and others have pointed out to me that it is not obvious that the descent maps on a Shimura variety given by Langlands’s Conjugacy Conjecture (Langlands 1979, Section 6) satisfy the continuity condition required for the descent to be effective. The following provides one proof of this (maybe not the best). Since the family (fσ) satisfying the conditions (a,b,c) below is unique (by the same argument that proves the uniqueness of the canonical model), it had better satisfy the continuity condition if the canonical models are to exist.
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