Morphic cohomology of toric varieties

DOI10.4310/HHA.2012.V14.N1.A6zbMATH Open1312.14064arXiv1001.3106OpenAlexW2007778417MaRDI QIDQ424853

Abdó Roig-Maranges

Publication date: 6 June 2012

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Abstract: In this paper we construct a spectral sequence computing a modified version of morphic cohomology of a toric variety (even when it is singular) in terms of combinatorial data coming from the fan of the toric variety.

Full work available at URL: https://arxiv.org/abs/1001.3106

zbMATH Keywords

toric varietydescentmorphic cohomology

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)

Related Items (4)

Title not available (Why is that?) ⋮ Title not available (Why is that?) ⋮ Cohomology of rational forms and a vanishing theorem on toric varieties ⋮ The cohomology rings of smooth toric varieties and quotients of moment-angle complexes

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