The hypertoric intersection cohomology ring
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Publication:2390928
DOI10.1007/s00222-009-0181-yzbMath1267.14031arXiv0802.0641OpenAlexW3101986657MaRDI QIDQ2390928
Tom Braden, Nicholas J. Proudfoot
Publication date: 10 August 2009
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.0641
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)
Related Items
Ringel duality for perverse sheaves on hypertoric varieties ⋮ On the Orlik-Terao ideal and the relation space of a hyperplane arrangement ⋮ The Orlik-Terao Algebra and the Cohomology of Configuration Space
Cites Work
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- Hard Lefschetz theorem for nonrational polytopes
- Intersection homology. II
- Equivariant Chow cohomology of toric varieties
- Decomposition of regular matroids
- Equivariant sheaves and functors
- Equivariant cohomology, Koszul duality, and the localization theorem
- Hyperbolic localization of intersection cohomology
- Equivariant de Rham theory and graphs
- Combinatorial intersection cohomology for fans.
- 1-skeleta, Betti numbers, and equivariant cohomology
- Toric hyperkähler varieties
- Properties of the residual circle action on a hypertoric variety.
- Combinatorics and commutative algebra.
- Equivariant-constructible Koszul duality for dual toric varieties
- Geometric Langlands duality and representations of algebraic groups over commutative rings
- A broken circuit ring
- Intersection cohomology of hypertoric varieties
- A survey of hypertoric geometry and topology
- COHOMOLOGY RINGS OF TORIC HYPERKÄHLER MANIFOLDS
- Hard Lefschetz theorem and Hodge-Riemann relations for intersection cohomology of nonrational polytopes
- The geometry and topology of toric hyperkähler manifolds
- The cohomology rings of complements of subspace arrangements
- Vanishing of odd dimensional intersection cohomology. II
- From moment graphs to intersection cohomology
- The cohomology algebra of the complement of a finite family of affine subspaces in an affine space. (L'algèbre de cohomologie du complément, dans un espace affine, d'une famille finie de sous-espaces affines).
