Intersection cohomology of hypertoric varieties

DOI10.1090/S1056-3911-06-00448-6zbMath1119.14016arXivmath/0411350MaRDI QIDQ3424126

Benjamin Webster, Nicholas J. Proudfoot

Publication date: 15 February 2007

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411350

zbMATH Keywords

toric varietiesPoincaré polynomialintersection cohomologyhypertoric varieties

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Intersection homology and cohomology in algebraic topology (55N33)

Related Items (17)

The Kazhdan-Lusztig polynomial of a matroid ⋮ The hypertoric intersection cohomology ring ⋮ Symplectic resolutions, symplectic duality, and Coulomb branches ⋮ Ringel duality for perverse sheaves on hypertoric varieties ⋮ Arc spaces and equivariant cohomology ⋮ Hypertoric category \(\mathcal O\). ⋮ ORBIFOLD COHOMOLOGY OF HYPERTORIC VARIETIES ⋮ All the GIT quotients at once ⋮ The universal Poisson deformation of hypertoric varieties and some classification results ⋮ Vanishing cycles on Poisson varieties ⋮ Poisson traces, D-modules, and symplectic resolutions ⋮ Poisson-de Rham homology of hypertoric varieties and nilpotent cones ⋮ The algebraic geometry of Kazhdan-Lusztig-Stanley polynomials ⋮ A non-Hausdorff model for the complement of a complexified hyperplane arrangement ⋮ Matroidal Schur algebras ⋮ The Orlik-Terao Algebra and the Cohomology of Configuration Space ⋮ The universal covers of hypertoric varieties and Bogomolov's decomposition

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