The homology and cohomology of the complements to some arrangements of codimension two complex planes

DOI10.1134/S0037446611030189zbMath1232.32016OpenAlexW2100193148MaRDI QIDQ642063

Yu. V. Èliyashev

Publication date: 25 October 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446611030189

zbMATH Keywords

toric varietycohomologysingular homologyBochner-Martinelli kernelAlexander-Pontryagin dualityarrangement of complex planes

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Topological aspects of complex manifolds (32Q55) Polyhedral manifolds (52B70)

Cites Work

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• Toric Kempf-Ness sets
• On the homology groups of arrangements of complex planes of codimension two
• Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes
• Residual kernels with singularities on coordinate planes
• Topology of plane arrangements and their complements
• Recent developments in toric geometry
• Integral Representations of Holomorphic Functions

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