The cohomology rings of smooth toric varieties and quotients of moment-angle complexes

DOI10.2140/gt.2021.25.2109zbMath1476.57059arXiv1907.04791OpenAlexW2961409926MaRDI QIDQ2048466

Matthias Franz

Publication date: 6 August 2021

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04791

zbMATH Keywords

toric varietyKoszul complexpartial quotientmoment-angle complexcohomology ringbar-construction

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Equivariant homology and cohomology in algebraic topology (55N91) Topological properties in algebraic geometry (14F45) Toric topology (57S12)

Related Items (6)

The cohomology rings of real toric spaces and smooth real toric varieties ⋮ Cohomology of smooth toric varieties: naturality ⋮ Equivariant cohomological rigidity of certain T-manifolds ⋮ On the (co)homology of (quotients of) moment-angle manifolds over polygons ⋮ The Stiefel-Whitney classes of moment-angle manifolds are trivial ⋮ On the homotopy decomposition for the quotient of a moment-angle complex and its applications

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