Asymptotic cohomological functions on projective varieties

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dc.creatorKuronya, Alex
dc.date2005-01-27
dc.date.accessioned2026-07-07T05:16:27Z
dc.date.available2026-07-07T05:16:27Z
dc.descriptionIn this paper we define certain analogues of the volume of a divisor - called asymptotic cohomological functions - and investigate their behaviour on the Neron--Severi space. We establish that asymptotic cohomological functions are invariant with respect to the numerical equivalence of divisors, and that they give rise to continuous functions on the real Neron--Severi space. To illustrate the theory, we work out these invariants for abelian varieties, smooth surfaces, and certain homogeneous spaces.
dc.description32 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0501491
dc.identifierhttp://arxiv.org/abs/math/0501491
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73995
dc.subjectAlgebraic Geometry
dc.subject14C20; 14F05
dc.titleAsymptotic cohomological functions on projective varieties
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