The virtual Poincare polynomials of homogeneous spaces

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dc.creatorBrion, Michel
dc.creatorPeyre, Emmanuel
dc.date2001-02-07
dc.date.accessioned2026-07-07T04:40:01Z
dc.date.available2026-07-07T04:40:01Z
dc.descriptionWe factor the virtual Poincare polynomial of every homogeneous space G/H, where G is a complex connected linear algebraic group and H is an algebraic subgroup, as $t^{2u} (t^2-1)^r Q_{G/H}(t^2)$ for a polynomial $Q_{G/H}$ with non-negative integer coefficients. Moreover, we show that $Q_{G/H}(t^2)$ divides the virtual Poincaré polynomial of every regular embedding of G/H, if H is connected.
dc.descriptionLaTeX, 14 pages
dc.identifierhttps://arxiv.org/abs/math/0102052
dc.identifierhttp://arxiv.org/abs/math/0102052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60904
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject14M17, 14F43, 32M12, 57T15
dc.titleThe virtual Poincare polynomials of homogeneous spaces
dc.typetext

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