Smooth projective surfaces with pseudo-effective tangent bundles

Jia Jia; Yongnam Lee; Guolei Zhong

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arXiv · 2302.10077

Smooth projective surfaces with pseudo-effective tangent bundles

Jia Jia·Yongnam Lee·Guolei Zhong

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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.

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BibTeX RIS

Jia Jia, Yongnam Lee, Guolei Zhong. 2023-02-20. Smooth projective surfaces with pseudo-effective tangent bundles. https://arxiv.org/abs/2302.10077

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