3 papers
math.AG2026
Fundamental groups of compact Kahler varieties with nef anti canonical bundle
Xin Fu, Bin Guo, Jian Song +1
It is proved by M. Paun (1997, 2017) that the fundamental group of a compact Kahler manifold X is almost Abelian if the anti-canonical bundle -KX is nef. In this paper, we apply th…
math.AG2025
An abundance-type result for the tangent bundles of smooth Fano varieties
Juanyong Wang
In this paper we prove the following abundance-type result: for any smooth Fano variety , the tangent bundle is nef if and only if it is big and semiample in the sense tha…
math.AG2025
Compact Kähler manifolds with nef anti-canonical bundle
Shin-ichi Matsumura, Juanyong Wang, Xiaojun Wu +1
In this paper, we prove that a compact Kähler manifold with the nef anti-canonical bundle admits a locally trivial fibration , where the fiber i…