The cohomology rings of real toric spaces and smooth real toric varieties

DOI10.1017/prm.2021.30zbMath1487.55011arXiv2008.08961OpenAlexW3071852705MaRDI QIDQ5081117

Matthias Franz

Publication date: 1 June 2022

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08961

zbMATH Keywords

real toric varietymaximal varietyreal toric spacedga modelface coalgebra

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other homology theories in algebraic topology (55N35) Topological properties in algebraic geometry (14F45) Toric topology (57S12)

Cites Work

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• The integral cohomology of toric manifolds
• On products in a real moment-angle manifold
• Homotopy decomposition of a suspended real toric space
• Is every toric variety an \(M\)-variety?
• Mod two homology and cohomology
• Homology and fibrations I: Coalgebras, cotensor product and its derived functors
• On the groups \(H(\Pi,n)\). II
• Describing toric varieties and their equivariant cohomology
• Introduction to Toric Varieties. (AM-131)
• A counterexample to the maximality of toric varieties
• Koszul duality and equivariant cohomology for tori
• Toric Topology

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