January, 2025 Smooth projective surfaces with pseudo-effective tangent bundles
Jia JIA, Yongnam LEE, Guolei ZHONG
Author Affiliations +
J. Math. Soc. Japan 77(1): 75-102 (January, 2025). DOI: 10.2969/jmsj/91579157

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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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

Information

Received: 19 June 2023; Published: January, 2025
First available in Project Euclid: 13 June 2024

Digital Object Identifier: 10.2969/jmsj/91579157

Subjects:
Primary: 14J60
Secondary: 14E30 , 14J26 , 14J27

Keywords: elementary transformation , projective surface , pseudo-effective , Tangent bundle

Rights: Copyright ©2025 Mathematical Society of Japan

Vol.77 • No. 1 • January, 2025
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