Hypercohomology of toral complexes and Langlands parametrization (Q1891494)
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scientific article; zbMATH DE number 763198
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hypercohomology of toral complexes and Langlands parametrization |
scientific article; zbMATH DE number 763198 |
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Hypercohomology of toral complexes and Langlands parametrization (English)
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13 July 1995
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Consider a morphism of tori as a complex of length two. In the course of the theory of endoscopy, Kottwitz and Shelstad expressed the (Galois-) hypercohomology of a complex of tori of length two by the hypercohomology of the character lattices. In the present paper a new proof is given which is based on cohomological considerations only and is extended to a proof of the analogous result for arbitrary bounded complexes.
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Langlands parametrization
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Galois hypercohomology
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morphism of tori
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complex of tori
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