Abstract
Let $S$ be a non-uniruled (i.e., non-birationally ruled) smooth projective surface. We show that the tangent bundle $T_{S}$ is pseudo-effective if and only if the canonical divisor $K_{S}$ is nef and the second Chern class vanishes, i.e., $c_{2}(S) = 0$. Moreover, we study the blow-up of a non-rational ruled surface with pseudo-effective tangent bundle.
Citation
Jia JIA. Yongnam LEE. Guolei ZHONG. "Smooth projective surfaces with pseudo-effective tangent bundles." J. Math. Soc. Japan 77 (1) 75 - 102, January, 2025. https://doi.org/10.2969/jmsj/91579157
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