Perfect stratifications and theory of weights. Stratifications parfaites et théorie des poids.

Navarro Aznar, Vicente. "Perfect stratifications and theory of weights.." Publicacions Matemàtiques 36.2B (1992): 807-825. <http://eudml.org/doc/41754>.

@article{NavarroAznar1992,
abstract = {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.},
author = {Navarro Aznar, Vicente},
journal = {Publicacions Matemàtiques},
keywords = {stratification; filterable decomposition; Euler characteristics; equivariant cohomology; Betti numbers; quotient of a variety; motivic Euler characteristic; Hodge numbers},
language = {eng},
number = {2B},
pages = {807-825},
title = {Perfect stratifications and theory of weights.},
url = {http://eudml.org/doc/41754},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Navarro Aznar, Vicente
TI - Perfect stratifications and theory of weights.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2B
SP - 807
EP - 825
AB - 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.
LA - eng
KW - stratification; filterable decomposition; Euler characteristics; equivariant cohomology; Betti numbers; quotient of a variety; motivic Euler characteristic; Hodge numbers
UR - http://eudml.org/doc/41754
ER -