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math.AG2026
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…
math.AG2026
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…
math.AG2026
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…