The cohomology of real De Concini-Procesi models of Coxeter type

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dc.creatorHenderson, Anthony
dc.creatorRains, Eric
dc.date2006-12-01
dc.date2007-07-17
dc.date.accessioned2026-07-07T09:20:51Z
dc.date.available2026-07-07T09:20:51Z
dc.descriptionWe study the rational cohomology groups of the real De Concini-Procesi model corresponding to a finite Coxeter group, generalizing the type-A case of the moduli space of stable genus 0 curves with marked points. We compute the Betti numbers in the exceptional types, and give formulae for them in types B and D. We give a generating-function formula for the characters of the representations of a Coxeter group of type B on the rational cohomology groups of the corresponding real De Concini-Procesi model, and deduce the multiplicities of one-dimensional characters in the representations, and a formula for the Euler character. We also give a moduli space interpretation of this type-B variety, and hence show that the action of the Coxeter group extends to a slightly larger group.
dc.description27 pages. The main change in Version 2 is a type-independent proof of Cohen-Macaulayness
dc.identifierhttps://arxiv.org/abs/math/0612010
dc.identifierhttp://arxiv.org/abs/math/0612010
dc.identifierInternational Mathematics Research Notices 2008 (2008), rnn001, 29pp.
dc.identifierdoi:10.1093/imrn/rnn001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154852
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject20F55 (Primary) 05E25, 14H10 (Secondary)
dc.titleThe cohomology of real De Concini-Procesi models of Coxeter type
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