82 citations · 404 across the 40 of their papers we have counts for
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Logarithmic vanishing theorems on compact Kähler manifolds I
Chunle Huang, Kefeng Liu, Xueyuan Wan +1
In this paper, we first establish an -type Dolbeault isomorphism for logarithmic differential forms by Hörmander's -estimates. By using this isomorphism and the construct…
On real bisectional curvature for Hermitian manifolds
Xiaokui Yang, Fangyang Zheng
Motivated by the recent work of Wu and Yau on the ampleness of canonical line bundle for compact Kähler manifolds with negative holomorphic sectional curvature, we introduce a new…
Compact Khler manifolds homotopic to negatively curved Riemannian manifolds
Bing-Long Chen, Xiaokui Yang
In this paper, we show that any compact Khler manifold homotopic to a compact Riemannian manifold with negative sectional curvature admits a Khler-Einstein metric of general…
Characterizations of projective spaces and quadrics by strictly nef bundles
Duo Li, Xiaokui Yang
In this paper, we show that if the tangent bundle of a smooth projective variety is strictly nef, then it is isomorphic to a projective space; if a projective variety …
Global generation and very ampleness for adjoint linear series
Xiaoyu Su, Xiaokui Yang
Let be a smooth projective variety over an algebraically closed field with arbitrary characteristic. Suppose is an ample and globally generated line bundle. By…