2021年1月25日

# ON PROJECTIVE MANIFOLDS WITH PSEUDO-EFFECTIVE TANGENT BUNDLE

Journal of the Institute of Mathematics of Jussieu
• Genki Hosono
• ,
• Masataka Iwai
• ,
• Shin-Ichi Matsumura

1

30

DOI
10.1017/s1474748020000754

Cambridge University Press (CUP)

<title>Abstract</title>
In this paper, we develop the theory of singular Hermitian metrics on vector bundles. As an application, we give a structure theorem of a projective manifold <italic>X</italic> with pseudo-effective tangent bundle; <italic>X</italic> admits a smooth fibration <inline-formula>
<alternatives>
<tex-math>$X \to Y$</tex-math>