Weights in the cohomology of toric varieties

Andrzej Weber

Open Mathematics (2004)

  • Volume: 2, Issue: 3, page 478-492
  • ISSN: 2391-5455

Abstract

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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).

How to cite

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Andrzej Weber. "Weights in the cohomology of toric varieties." Open Mathematics 2.3 (2004): 478-492. <http://eudml.org/doc/268729>.

@article{AndrzejWeber2004,
abstract = {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).},
author = {Andrzej Weber},
journal = {Open Mathematics},
keywords = {14M25; 14F43 (55N33); 32S35},
language = {eng},
number = {3},
pages = {478-492},
title = {Weights in the cohomology of toric varieties},
url = {http://eudml.org/doc/268729},
volume = {2},
year = {2004},
}

TY - JOUR
AU - Andrzej Weber
TI - Weights in the cohomology of toric varieties
JO - Open Mathematics
PY - 2004
VL - 2
IS - 3
SP - 478
EP - 492
AB - 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).
LA - eng
KW - 14M25; 14F43 (55N33); 32S35
UR - http://eudml.org/doc/268729
ER -

References

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