Abstract
Let $L$ be an ample line bundle over a smooth complex projective $n$-fold $X$ such that $K_X+L$ is nef. We prove that $H^0(X, \mathcal{O}_X(m(K_X+L)))\ne 0$ holds for every $m\geq n(n+1)/2+2$.
Citation
Tomoki ARAKAWA. "Effective Nonvanishing of Pluri-adjoint Line Bundles." Tokyo J. Math. 38 (1) 1 - 14, June 2015. https://doi.org/10.3836/tjm/1428412562
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