Descent for Shimura Varieties

Mathematics – Algebraic Geometry

Scientific paper

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6 pages

Scientific paper

We verify that the descent maps provided by Langlands's Conjugacy Conjecture
do satisfy the continuity condition necessary for them to be effective. Thus
Langlands's conjecture does imply the existence of canonical models.
This replaces an earlier version of the paper --- the proof in this version
is simpler, and the exposition more detailed.

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