On Kodaira energy and adjoint reduction of polarized threefolds

Details On Kodaira energy and adjoint reduction of polarized threefolds On Kodaira energy and adjoint reduction of polarized threefolds

1996-11-26

arxiv.org/abs/alg-geom/9611031v2

Mathematics

Algebraic Geometry

15 pages, source amstex file and/or hard copy is available on request

Scientific paper

Here we study and classify polarized threefolds whose Kodaira energies are less than -1/2. The Kodaira energy of a polarized manifold (M, L), a pair consisting of a smooth complex algebraic variety M and an ample line bundle L on it, is defined to be $-\Inf{t\in Q\vert \kappa(K+tL)\ge0}$, where K is the canonical bundle of M and $\kappa$ denotes the Iitaka dimension of a Q-bundle. The method is a variant of those in my paper; manuscripta math. 76(1992).

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