Lefschetz–Verdier Trace Formula and a Generalization of a Theorem of Fujiwara
By Y. Varshavsky. 2005
71 citations recorded by the source corpus.
Abstract.The goal of this paper is to generalize a theorem of Fujiwara (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 more elementary than the original one and stays in the realm of ordinary algebraic geometry, that is, does not use rigid geometry. We also give a proof of the Lefschetz–Verdier trace formula and of the additivity of filtered trace maps, thus making the paper essentially self-contained.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/15d04e0d430d461c0ce836ea401221064bc23e91
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In Geometry and Topology
- Max Lieblich
- Martin Olsson
- Brian Conrad
- D. Huybrechts
- Fabio Nironi
- Bumsig Kim
- Christopher Woodward
- B. Bhatt
In Mathematical Physics
- Max Lieblich
- Martin Olsson
- Brian Conrad
- D. Huybrechts
- Bertrand Toën
- B. Bhatt
- Carlos Simpson
- Yukinobu Toda
Citations in the corpus
- Nagata compactification for algebraic spaces (2009, background): “However, the availability of a form of Nagata’s theorem simplifies matters tremendously, and there are cohomological applications for which the approach through compactifications seems essential, such as the proof of Fujiwara’s theorem for algebraic spaces [26] (from which one can deduce the result ”