### SL2 actions and cohomology of Schubert varieties

E. Akyildiz (1990)

Banach Center Publications

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E. Akyildiz (1990)

Banach Center Publications

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Robert Lazarsfeld, Lawrence Ein (1993)

Inventiones mathematicae

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M. Brodmann (1991)

Mathematische Zeitschrift

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Karl-Heinz Fieseler (1991)

Journal für die reine und angewandte Mathematik

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William Browder (1990)

Mathematica Scandinavica

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Nobuo TSUZUKI (2012)

Rendiconti del Seminario Matematico della Università di Padova

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Alzati, A., Besana, G.M. (2000)

Beiträge zur Algebra und Geometrie

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Wu-Yi Hsiang, J.C. Su (1975)

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S. Ramanan, A. Ramanathan (1985)

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Mikiya Masuda (1981)

Mathematische Zeitschrift

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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.

R.S. Kulkarni (1982)

Mathematische Annalen

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Sean Keel (1990)

Manuscripta mathematica

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Hubert Flenner, Mirella Manaresi (1997)

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...