On the projective fourfolds with almost numerically positive canonical divisors

dc.creatorFukuda, Shigetaka
dc.date2004-09-06
dc.date2005-02-01
dc.date.accessioned2026-07-07T06:34:13Z
dc.date.available2026-07-07T06:34:13Z
dc.descriptionLet $X$ be a four-dimensional projective variety defined over the field of complex numbers with only terminal singularities. We prove that if the intersection number of the canonical divisor $K$ with every very general curve is positive ($K$ is almost numerically positive) then every very general proper subvariety of $X$ is of general type in the viewpoint of geometric Kodaira dimension. We note that the converse does not hold for simple abelian varieties.
dc.description9 pages, LaTeX2e; with minor changes
dc.identifierhttps://arxiv.org/abs/math/0409078
dc.identifierhttp://arxiv.org/abs/math/0409078
dc.identifierBull. Korean Math. Soc. 43(2006), no. 4, 763--770
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99455
dc.subjectAlgebraic Geometry
dc.subject14E30, 14J35
dc.titleOn the projective fourfolds with almost numerically positive canonical divisors
dc.typetext

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