We describe the weight filtration in the cohomology of toric varieties. We present a role of the Frobenius automorphism in an elementary way. We prove that equivariant intersection homology of an arbitrary toric variety is pure. We obtain results concerning Koszul duality: nonequivariant intersection cohomology is equal to the cohomology of the Koszul complexIH T*(X)⊗H*(T). We also describe the weight filtration inIH *(X).
@article{bwmeta1.element.doi-10_2478_BF02475240,
author = {Andrzej Weber},
title = {Weights in the cohomology of toric varieties},
journal = {Open Mathematics},
volume = {2},
year = {2004},
pages = {478-492},
zbl = {1077.14074},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475240}
}
Andrzej Weber. Weights in the cohomology of toric varieties. Open Mathematics, Tome 2 (2004) pp. 478-492. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475240/
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