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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Detalhes bibliográficos
Autor: Navarro, Vicenç (Navarro Aznar)
Formato: artículo
Estado:Versión publicada
Fecha de publicación:1992
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/132480
Acesso em linha:https://hdl.handle.net/2445/132480
Access Level:acceso abierto
Palavra-chave:Àlgebra
Geometria
Algebra
Geometry
Descrição
Resumo: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.