4 papers
Fundamental groups of Calabi-Yau spaces
Xin Fu, Bin Guo, Jian Song +1
We study the fundamental groups of a normal projective Calabi-Yau variety with klt singularities and of its regular locus . We prove that both groups are almost abelia…
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…
RCD structures on singular Kahler spaces of complex dimension three
Xin Fu, Bin Guo, Jian Song
Let X be a projective variety of complex dimension 3 with log terminal singularities. We prove that every singular Kahler metric on X with bounded Nash entropy and Ricci curvature…