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math.DG2026
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…
math.AP2026
Stability and gradient estimates for fully nonlinear elliptic equations on hermitian manifolds
Bin Guo, Jian Song
The known proofs of the gradient estimate for complex Hessian equations rely on the second order estimate of Hou-Ma-Wu and on a Liouville theorem of Dinew-Kolodziej. In this paper,…
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…