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math.AG2023
Positivity of tangent sheaves of projective varieties -- the structure of MRC fibrations
Masataka Iwai, Shin-ichi Matsumura, Guolei Zhong
In this paper, we extend the structure theorem for smooth projective varieties with nef tangent bundle to projective klt varieties whose tangent sheaf is either positively curved o…
math.AG2023★ 3 cited
Compact Kähler three-folds with nef anti-canonical bundle
Shin-ichi Matsumura, Xiaojun Wu
In this paper, we prove that a non-projective compact Kähler three-fold with nef anti-canonical bundle is, up to a finite étale cover, one of the following: a manifold with vanishi…