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math.AG2025
Beauville--Bogomolov--Yau decomposition for Kähler generalized pairs
Shin-ichi Matsumura, Juanyong Wang, Xiaojun Wu +1
In this paper, we establish the Beauville--Bogomolov--Yau decomposition for generalized pairs in the Kähler setting, thereby extending this structure theorem to the natural framewo…
math.AG2025
On compact Kähler manifolds with pseudo-effective tangent bundle
Shin-ichi Matsumura, Chenghao Qing
In this paper, we prove that a compact Kähler manifold with pseudo-effective (resp. singular positively curved) tangent bundle admits a smooth (resp. locally constant) rational…