Mathematics – Algebraic Geometry
Scientific paper
2005-05-15
Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 78-88
Mathematics
Algebraic Geometry
Research announcement, published version
Scientific paper
The goal of this paper is to give a simple proof of Deligne's conjecture
(proven by Fujiwara) and to generalize it to the situation appearing in our
joint project with David Kazhdan on the global Langlands correspondence over
function fields. Our proof holds in the realm of ordinary algebraic geometry
and does not use rigid geometry.
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