Euler characteristics of the real points of certain varieties of algebraic tori

DOI10.1112/plms/pdm002zbMath1122.14040OpenAlexW2094906897MaRDI QIDQ5292710

Joost van Hamel, Gustav Isaac Lehrer

Publication date: 22 June 2007

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/pdm002

zbMATH Keywords

maximal torusweighted Euler characteristic

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) General properties and structure of real Lie groups (22E15) Topology of real algebraic varieties (14P25) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Cites Work

• Elementary structure of real algebraic varieties
• Intersection cohomology complexes on a reductive group
• Green functions and character sheaves
• Character sheaves. I
• Rational tori, semisimple orbits and the topology of hyperplane complements
• Groupes reductifs
• EQUIVARIANT SEMI-ALGEBRAIC TRIANGULATIONS OF REAL ALGEBRAIC G-VARIETIES
• The space of invariant functions on a finite Lie algebra
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