39 citations · 187 across the 37 of their papers we have counts for
Showing 2025Show all
3 papers · 1 filter
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…
math.DG2025
Fundamental groups of compact Kähler manifolds with semi-positive holomorphic sectional curvature
Shin-ichi Matsumura
In this paper, we prove that a compact Kähler manifold with semi-positive holomorphic sectional curvature admits a locally trivial fibration , where the fiber…