Equivariant Chow cohomology of nonsimplicial toric varieties

DOI10.1090/S0002-9947-2012-05409-2zbMath1408.14166arXiv1101.0352MaRDI QIDQ2841343

Henry K. Schenck

Publication date: 25 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0352

zbMATH Keywords

toric varietyChow ringpiecewise polynomial function

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) Syzygies, resolutions, complexes and commutative rings (13D02) Polytopes and polyhedra (52B99)

Related Items (10)

Algebraic methods in approximation theory ⋮ Splines in geometry and topology ⋮ Equivariant cohomology, syzygies and orbit structure ⋮ Multivariate generalized splines and syzygies on graphs ⋮ Shellability and freeness of continuous splines ⋮ Basis condition for generalized spline modules ⋮ Splines on the Alfeld split of a simplex and type A root systems ⋮ Generalized splines and graphic arrangements ⋮ Associated primes of spline complexes ⋮ Quasi-splines and their moduli

Cites Work

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• Equivariant Chow cohomology of toric varieties
• The algebra of continuous piecewise polynomials
• Free arrangements of hyperplanes and unitary reflection groups
• A spectral sequence for splines
• Equivariant Chow groups for torus actions
• Cohomology of regular embeddings
• A dimension series for multivariate splines
• Piecewise polynomials on polyhedral complexes

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