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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| Format: | article |
| Status: | Published version |
| Publication Date: | 1992 |
| Country: | España |
| Institution: | Universidad de Barcelona |
| Repository: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/132480 |
| Online Access: | https://hdl.handle.net/2445/132480 |
| Access Level: | Open access |
| Keyword: | Àlgebra Geometria Algebra Geometry |
| Summary: | 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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