Stratifications parfaites et théorie des poids
In this paper, we emphasize Deligne's theory of weights, in order to prove that some stratifications of algebraic varieties are perfect. In particular, we study in some detail the Bialynicki-Birula's stratifications and the stratifications considered by F. Kirwan to compute the cohomology...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1992 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | francés |
| OAI Identifier: | oai:ddd.uab.cat:60216 |
| Acceso en línea: | https://ddd.uab.cat/record/60216 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_362B92_06 |
| Access Level: | acceso abierto |
| Sumario: | In this paper, we emphasize Deligne's theory of weights, in order to prove that some stratifications of algebraic varieties are perfect. In particular, we study in some detail the Bialynicki-Birula's stratifications and the stratifications considered by F. Kirwan to compute the cohomology of symplectic or geometric quotients. Finally we also appoint the motivic formulation of this approach, which contains the Hodge theoretic forrnulation. |
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