Projective klt varieties with pseudo-effective tangent sheaf decompose into Fano varieties and Q-abelian varieties via the minimal model program.
Manivel Un th\'eor\`eme de prolongement L^ 2 de sections holomorphes d'un fibr\'e hermitien , Math
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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.