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math.DG2020
Cohomologies of complex manifolds with symplectic -forms
Adriano Tomassini, Xu Wang
Let be a complex manifold with a non-degenerated smooth -closed -form . Then we have a natural double complex , whe…
math.DG2017★ 7 cited
Algebraic fiber spaces and curvature of higher direct images
Bo Berndtsson, Mihai Paun, Xu Wang
In this article we are interested in the differential geometric properties of certain higher direct images of exterior powers of the sheaf of relative differentials twisted with a…
math.DG2016★ 3 cited
Curvature restrictions on a manifold with a flat Higgs bundle
Xu Wang
We shall prove a semi-negative curvature property for a manifold with a flat admissible Higgs bundle.