The geometry and topology of quotient varieties of torus actions

DOI10.1215/S0012-7094-92-06806-2zbMath0812.14031OpenAlexW1577424945MaRDI QIDQ1202449

Yi Hu

Publication date: 2 February 1993

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-92-06806-2

zbMATH Keywords

intersection homologyintersection Betti numbersaction of a complex algebraic torussymplectic reduced spacestopology of the quotient variety

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items

Matroids and geometric invariant theory of torus actions on flag spaces, Variations of moduli of parabolic bundles, The Hausdorff topology as a moduli space, The decomposition theorem and the intersection cohomology of quotients in algebraic geometry., Toroidal varieties and the weak factorization theorem, Geometric invariant theory and flips, Toric topology of the Grassmannian of planes in $\mathbb{C}^5$ and the del Pezzo surface of degree $5$, Intersection cohomology of \(S^1\) symplectic quotients and small resolutions, Momentum maps and reduction in algebraic geometry, On the Torus quotients of Schubert varieties, Variation of geometric invariant theory quotients. (With an appendix: ``An example of a thick wall by Nicolas Ressayre), Orbit spaces of maximal torus actions on oriented Grassmannians of planes

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