Integral Zariski decompositions on smooth projective surfaces II

Abstract

In this paper, we characterize three classes of smooth projective surfaces: relatively minimal elliptic surfaces with $\chi \ge 1$, rational surfaces $X$ satisfying that $-K_X$ iis nef and $\kappa (-K_X)\ge 1$,, and projective K3 surfaces on which every integral pseudoeffective divisor admits an integral Zariski decomposition.

13 pages, corrected Theorem 1.7(ii), comments are welcome!