3 papers
math.AG2026
Holomorphic symplectic geometry of elliptic surfaces
Jun-Muk Hwang, Guolei Zhong
When a complex surface admits a nowhere vanishing holomorphic 2-form, it determines a (holomorphic) symplectic structure on . We study the symplectic geometry of such a symp…
math.AG2025
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.AG2025
On smooth rationally connected projective threefolds of Picard number two admitting int-amplified endomorphisms
Zelong Chen, Sheng Meng, Guolei Zhong
We prove that a smooth rationally connected projective threefold of Picard number two is toric if and only if it admits an int-amplified endomorphism. As a corollary, we show that…