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math.CV2026
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…
math.CV2023
Universal holomorphic maps with slow growth I. An Algorithm
Bin Guo, Song-Yan Xie
We design an Algorithm to fabricate universal holomorphic maps between any two complex Euclidean spaces, within preassigned transcendental growth rate. As by-products, universal ho…