Algebraic and analytic cohomology of quasiprojective varieties.
Mathias Peternell (1990)
Mathematische Annalen
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Mathias Peternell (1990)
Mathematische Annalen
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Mohamed Kaddar (1996)
Mathematische Annalen
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Nobuo TSUZUKI (2012)
Rendiconti del Seminario Matematico della Università di Padova
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P.J. HUBER (1961)
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Joseph LEHNER (1971)
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Emmanuel Peyre (1993)
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Michael G. Eastwood (1978)
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Uwe Jannsen (1988)
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Elisabetta Strickland (1987)
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E. Akyildiz (1990)
Banach Center Publications
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Satya Deo (1983)
Mathematische Annalen
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Adolfo Quirós (1990)
Mathematische Annalen
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Jean-Louis Colliot-Thélène, Wayne Raskind (1985)
Mathematische Annalen
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Kahn, Bruno (1996)
Documenta Mathematica
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Roy Joshua, Michel Brion (2004)
Journal of the European Mathematical Society
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We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmetric varieties that includes equivariant compactifications of reductive groups. Thereby, we extend a well-known algorithm for toric varieties.
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...
Urs Würgler (1984)
Mathematische Annalen
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