7 citations · 11 across the 14 of their papers we have counts for
15 papers
Split Normal Bundles and Rigidity of Holomorphic Immersions from Compact Ball Quotients
Rong Du
Let be a holomorphic immersion from a compact complex hyperbolic space form into a higher-dimensional complex hyperbolic space form. We prove that if the normal bundle decompos…
Homogeneous ACM bundles on isotropic Grassmannians
Rong Du, Xinyi Fang, Peng Ren
In this paper, we characterize homogeneous arithmetically Cohen-Macaulay (ACM) bundles over isotropic Grassmannians of types , and in term of step matrices. We show that…
Vector Bundles on Rational Homogeneous Spaces
Rong Du, Xinyi Fang, Yun Gao
We consider a uniform -bundle on a complex rational homogeneous space %over complex number field and show that if is poly-uniform with respect to all th…
Vector Bundles on Flag varieties
Rong Du, Xinyi Fang, Yun Gao
We study vector bundles on flag varieties over an algebraically closed field . In the first part, we suppose to be the Grassmannian manifold para…
Normal bundles on the exceptional sets of simple small resolutions
Rong Du, Xinyi Fang
We study the normal bundles of the exceptional sets of isolated simple small singularities in the higher dimension when the Picard group of the exceptional set is and…
Modular quotient varieties and singularities by the cyclic group of order
Yin Chen, Rong Du, Yun Gao
We classify all -dimensional reduced Cohen-Macaulay modular quotient variety and study their singularities, where is a prime number and $C_{…
Smooth solution to higher dimensional complex Plateau problem
Rong Du
Let be a compact connected strongly pseudoconvex manifold of real dimension in . For , Yau solved the complex Plateau problem of hypersurfac…
Inequalities of Chern classes on nonsingular projective -folds of Fano and general type with ample canonical bundle
Rong Du, Hao Sun
Let be a nonsingular projective -fold of Fano or of general type with ample canonical bundle over an algebraic closed field of any characteristic. We pr…
On the canonical maps of nonsingular threefolds of general type
Rong Du
Let be a nonsingular minimal complex projective surface of general type and the canonical map of is generically finite. Beauville showed that the geometric genus of the ima…
On abelian canonical n-folds of general type
Rong Du, Yun Gao
Let be a Gorenstein minimal projective -fold with at worst locally factorial terminal singularities, and suppose that the canonical map of is generically finite onto its…
On higher dimensional complex Plateau problem
Rong Du, Yun Gao, Stephen Yau
Let be a compact connected strongly pseudoconvex manifold of real dimension in . It has been an interesting question to find an intrinsic smoothness…
On the canonical degrees of Gorenstein threefolds of general type
Rong Du, Yun Gao
Let be a Gorenstein minimal projective -fold with at worst locally factorial terminal singularities. Suppose that the canonical map is generically finite onto its image. C.…
On the Griffiths numbers for higher dimensional singularities
Rong Du, Yun Gao
We show that Yau's conjecture on the inequalities for (n-1)-th Griffiths number and (n-1)-th Hironaka number does not hold for isolated rigid Gorenstein singularities of dimension…
Canonical maps of surfaces defined by Abelian covers
Rong Du, Yun Gao
In this paper, we classified the surfaces whose canonical maps are abelian covers over . Moveover, we construct a new Campedelli surface with fundamental group $\math…
Kohn-Rossi Cohomology and its application to the Complex Plateau Problem III
Rong Du, Stephen Yau
Let be a compact connected strongly pseudoconvex manifold of real dimension 2n-1 in . It has been an interesting question to find an intrinsic smoothness c…