12 citations · 47 across the 20 of their papers we have counts for
31 papers
Positivity of compact Kähler varieties admitting an int-amplified endomorphism
Shin-ichi Matsumura, Guolei Zhong
We study compact Kähler varieties admitting int-amplified endomorphisms from the viewpoint of positivity of tangent sheaves. Our main result shows that the tangent sheaf of such a…
A note on compact Kähler varieties with pseudo-effective tangent sheaf
Shin-ichi Matsumura, Guolei Zhong
In this paper, we discuss recent developments and open problems concerning the geometry of compact Kähler varieties whose tangent sheaves are pseudo-effective in a strong sense. As…
A flatness criterion for pseudo-effective sheaves on compact Kähler spaces
Junyan Cao, Ya Deng, Shin-ichi Matsumura
In this paper, we prove that if is a pseudo-effective sheaf with vanishing first Chern class on a klt compact Kähler space , then, after passing to a finite quasi-étale cove…
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…
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…
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…