Effective non-vanishing of global sections of multiple adjoint bundles for polarized 4-folds

Details Effective non-vanishing of global sections of multiple adjoint bundles for polarized 4-folds Effective non-vanishing of global sections of multiple adjoint bundles for polarized 4-folds

2010-10-22

arxiv.org/abs/1010.4634v1

Mathematics

Algebraic Geometry

28 pages

Scientific paper

Let X be a smooth complex projective variety of dimension 4 and let L be an
ample line bundle on X. In this paper, we study a natural number m such that
h^{0}(m(K_{X}+L))>0 for any polarized 4-folds (X,L) with \kappa(K_{X}+L)\geq 0.

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