4 papers
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…
Some Examples and Counterexamples in Oka Theory
Yun-Heng Du
This paper gives examples and counterexamples in Oka theory: two about deleting closed sets from complex Euclidean space, one about blowing up along a connected Oka center, and one…
Sharp Summability of Nevanlinna Defects for Finite-Lower-Order Holomorphic Curves
Yun-Heng Du, Song-Yan Xie
For a countable family of hyperplanes , , in general position and a linearly nondegenerate holomorphic curve $f\colon \mathbb{C}\to \mathbb…