Equivariant Alexander-Spanier cohomology.
Hannu Honkasalo (1988)
Mathematica Scandinavica
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Hannu Honkasalo (1988)
Mathematica Scandinavica
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Hannu Honkasalo (1996)
Mathematica Scandinavica
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Raymond Stora (1997)
Recherche Coopérative sur Programme n°25
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Alejandro Adem (1989)
Commentarii mathematici Helvetici
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Tor Skjelbred (1978)
Commentarii mathematici Helvetici
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Raymond Stora, Frank Thuillier, Jean-Christophe Wallet (1997)
Recherche Coopérative sur Programme n°25
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Elisabetta Strickland (1991)
Mathematische Annalen
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Kefeng Liu (1995)
Mathematische Annalen
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Akira Kono, Mamoru Mimura (1980)
Mathematica Scandinavica
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Andreas Stieglitz (1978/79)
Manuscripta mathematica
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Matthias Franz (2010)
Colloquium Mathematicae
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Topologically, compact toric varieties can be constructed as identification spaces: they are quotients of the product of a compact torus and the order complex of the fan. We give a detailed proof of this fact, extend it to the non-compact case and draw several, mostly cohomological conclusions. In particular, we show that the equivariant integral cohomology of a toric variety can be described in terms of piecewise polynomials on the fan if the ordinary integral cohomology is concentrated...
Andrzej Weber (2004)
Open Mathematics
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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).
Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
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D.N. Holtzman (1985)
Mathematica Scandinavica
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Emili Bifet (1992)
Publicacions Matemàtiques
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We explain the philosophy behind the computations in [BDP] and place them in a wider conceptual setting. We also outline, for toric varieties, the resulting equivalent approach to some key results in that theory.
J. Duflot (1981)
Commentarii mathematici Helvetici
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