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On a conjecture of Demailly-Peternell-Schneider: the Kahler case
Xin Fu, Juanyong Wang
Let be a surjective holomorphic map between two normal Kahler varieties, where (X,Δ) is a log canonical pair, -(KX+Δ) is nef and Y is Q-Gorenstein. In Fu-Guo…
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…
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…
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…
Strictly nef divisors on singular threefolds
Juanyong Wang, Guolei Zhong
Let be a normal projective variety with only klt singularities, and a strictly nef -divisor on . In this paper, we study the singular version of Serrano's…