Perfect stratifications and theory of weights

• Autores: Vicenç Navarro
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 2, 2, 1992 (Ejemplar dedicado a: la memória de Pere Menal i Brufal), págs. 807-825
• Idioma: inglés
• DOI: 10.5565/publmat_362b92_06
• Títulos paralelos:
  • Estratificaciones perfectas y teoría de los pesos
  • Stratifications parfaites et théorie des poids
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• Resumen

  • 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 formulation.