A Proof of a Generalization of Deligne’s Conjecture
نویسنده
چکیده
The goal of this paper is to give a simple proof of Deligne’s conjecture on the Lefschetz trace formula (proven by Fujiwara) and to generalize it to the situation appearing in the forthcoming joint paper with D. Kazhdan. Our proof holds in the realm of ordinary algebraic geometry and does not use rigid geometry.
منابع مشابه
Lefschetz–verdier Trace Formula and a Generalization of a Theorem of Fujiwara
The goal of this paper is to generalize a theorem of Fujiwara (formerly Deligne’s conjecture) to the situation appearing in a joint work [KV] with David Kazhdan on the global Langlands correspondence over function fields. Moreover, our proof is much simpler than the original one and applies to more general situations like algebraic spaces or Deligne–Mumford stacks without any changes. We also i...
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