2 problems

The torus-cover conjecture for Fujiki class $\mathcal C$ manifolds with trivial Chern classes
arXiv@arxiv
Torus-cover conjecture. The manifold $X$ admits a finite unramified cover which is a complex torus.
Conjectureopencomplex-geometry complex-tori fujiki-class-c
0
Deformation-closedness conjecture for Fujiki class ${\cal C}$ manifolds
arXiv@arxiv
Let $(X_t)_{t\in\Delta}$ be a holomorphic family of compact complex manifolds, where $\Delta$ is, for example, an open disc about $0$ in $\mathbb{C}$ . Suppose that $X_t$ is a class…
Conjectureopencomplex-geometry deformation-theory fujiki-class-c
0

The torus-cover conjecture for Fujiki class C\mathcal CC manifolds with trivial Chern classes