Volumes of hyperbolic manifolds and mixed Tate motives

dc.creatorGoncharov, Alexander
dc.date1996-01-19
dc.date1996-01-24
dc.date.accessioned2026-07-07T08:58:05Z
dc.date.available2026-07-07T08:58:05Z
dc.descriptionTwo different constructions of an invariant of an odd dimensional hyperbolic manifold in the K-group $K_{2n-1}(\bar \Bbb Q)\otimes \Bbb Q$ are given. The volume of the manifold is equal to the value of the Borel regulator on that element. The scissor congruence groups in non euclidian geometries are studied and their relationship with algebraic K-theory of the field of complex numbers is discussed.
dc.descriptionBetter LaTeX file, no mathematical changes
dc.identifierhttps://arxiv.org/abs/alg-geom/9601021
dc.identifierhttp://arxiv.org/abs/alg-geom/9601021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147188
dc.subjectAlgebraic Geometry
dc.titleVolumes of hyperbolic manifolds and mixed Tate motives
dc.typetext

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