On the volume of a line bundle

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dc.creatorBoucksom, Sebastien
dc.date2002-01-05
dc.date.accessioned2026-07-07T04:45:41Z
dc.date.available2026-07-07T04:45:41Z
dc.descriptionUsing a result of Fujita on approximate Zariski decompositions and the singular version of Demailly's holomorphic Morse inequalities as obtained by Bonavero, we express the volume of a line bundle in terms of the absolutely continuous parts of all the positive curvature currents on it, with a way to pick an element among them which is most homogeneous with respect to the volume. This enables us to introduce the volume of any pseudoeffective class on a compact Kaehler manifold, and Fujita's theorem is then extended to this context.
dc.identifierhttps://arxiv.org/abs/math/0201031
dc.identifierhttp://arxiv.org/abs/math/0201031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63043
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject32J25, 32J27, 14C20
dc.titleOn the volume of a line bundle
dc.typetext

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