15 citations · 22 across the 8 of their papers we have counts for
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Degeneration of Kahler-Einstein hypersurfaces in complex torus to generalized pair of pants decomposition
Wei-Dong Ruan
In this paper we show that the convergence of complete Kahler-Einstein hypersurfaces in complex torus in the sense of Cheeger-Gromov will canonically degenerate the underlying mani…
Generalized special Lagrangian fibration for Calabi-Yau hypersurfaces in toric varieties III: The smooth fibres
Wei-Dong Ruan
In this paper we construct all smooth torus fibres of the generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric varieties near the large complex lim…
H-minimal Lagrangian fibrations in Kahler manifolds and minimal Lagrangian vanishing tori in Kahler-Einstein manifolds
Wei-Dong Ruan
H-minimal Lagrangian submanifolds in general Kähler manifolds generalize special Lagrangian submanifolds in Calabi-Yau manifolds. In this paper we will use the deformation theory o…
Generalized special Lagrangian torus fibration for Calabi-Yau hypersurfaces in toric varieties II
Wei-Dong Ruan
In this paper we construct monodromy representing generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric varieties near the large complex limit.
Generalized special Lagrangian torus fibration for Calabi-Yau hypersurfaces in toric varieties I
Wei-Dong Ruan
In this paper we start the program of constructing generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric variety near the large complex limit, with…
Degeneration of Kähler-Einstein Manifolds II: The Toroidal Case
Wei-Dong Ruan
In this paper we prove that the Kähler-Einstein metrics for a toroidal canonical degeneration family of Kähler manifolds with ample canonical bundles Gromov-Hausdorff converge to t…