Projective klt varieties with pseudo-effective tangent sheaf decompose into Fano varieties and Q-abelian varieties via the minimal model program.
Raufi, Singular Hermitian metrics on holomorphic vector bundles, Ark.\ Mat.\ 53 (2015), no
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On the minimal model program for projective varieties with pseudo-effective tangent sheaf
Projective klt varieties with pseudo-effective tangent sheaf decompose into Fano varieties and Q-abelian varieties via the minimal model program.