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math.DG2009★ 2 cited
Convergence of Calabi-Yau manifolds
Wei-Dong Ruan, Yuguang Zhang
In this paper, we study the convergence of Calabi-Yau manifolds under Kähler degeneration to orbifold singularities and complex degeneration to canonical singularities (including t…
math.DG2008
Miyaoka-Yau inequality for minimal projective manifolds of general type
Yuguang Zhang
In this short note, we prove the Miyaoka-Yau inequality for minimal projective -manifolds of general type by using Kähler-Ricci flow.
math.DG2003
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…