3 citations · 8 across the 18 of their papers we have counts for
21 papers
A first-jet characterization of Griffiths positivity
Yun-Heng Du, Song-Yan Xie
We characterize Griffiths positivity of vector bundles on smooth projective varieties by a finite-dimensional convex condition on first jets of sections of positive twists. A nonze…
Ample vector bundles without Griffiths-semipositive metrics
Yun-Heng Du, Song-Yan Xie
We construct a rank-two ample holomorphic vector bundle on an abelian surface that admits no smooth Griffiths-semipositive Hermitian metric, thereby giving a counterexample to the…
Analytic and Algebraic Oka-1 Approximation for Smooth Projective Morphisms with Rationally Connected Fibers
Yun-Heng Du, Bin Guo, Song-Yan Xie
Let be a smooth projective morphism of complex manifolds with connected rationally connected fibers. We prove holomorphic approximation on arbitrary compact sets…
Analytic Construction of Rational Curves on Fano Manifolds
Yun-Heng Du, Bin Guo, Song-Yan Xie
Inspired by methods for constructing entire curves in Oka geometry, we give an analytic construction of rational curves on a complex Fano manifold . Yau's theorem provides a Käh…
Kobayashi Hyperbolicity of General Surfaces via the Poincaré Problem
Song-Yan Xie, Shengyuan Zhao
We prove that a general surface in of degree at least contains no rational or elliptic curves, strengthening the classical result of Clemens by replacing the or…
Invariant two-jets and effective hyperbolicity for complements of two plane curves
Lei Hou, Pengchao Wang, Song-Yan Xie
Let be a simple normal crossing union of smooth plane curves of degrees . We prove an effective Second Main Theorem for…