53 citations · 239 across the 26 of their papers we have counts for
28 papers
Remarks on Kähler orbifolds of non-negative Ricci curvature
Yuguang Zhang
This note proves orbifold versions of Kobayashi's theorem. The main result asserts that a compact Kähler orbifold with non-negative Ricci curvature, along with certain conditions r…
Almost Non-positive Kähler Manifolds
Yuguang Zhang
This paper proves that the universal covering of a compact Kähler manifold with small positive sectional curvature in a certain sense is contractible.
A Note on Lagrangian Submanifolds in Symplectic -Manifolds
Yuguang Zhang
This short paper shows a topological obstruction of the existence of certain Lagrangian submanifolds in symplectic -manifolds.
Pair-of-pants decompositions of 4-manifolds diffeomorphic to general type hypersurfaces
Yuguang Zhang
In this paper, we show that a smooth 4-manifold diffeomorphic to a complex hypersurface in of degree can be decomposed as the union of copies…
Geometry of twisted Kähler-Einstein metrics and collapsing
Mark Gross, Valentino Tosatti, Yuguang Zhang
We prove that the twisted Kahler-Einstein metrics that arise on the base of certain holomorphic fiber space with Calabi-Yau fibers have conical-type singularities along the discrim…
Adiabatic limits of anti-self-dual connections on collapsed K3 surfaces
Ved Datar, Adam Jacob, Yuguang Zhang
We prove a convergence result for a family of Yang-Mills connections over an elliptic surface as the fibers collapse. In particular, assume is projective, admits a sec…