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Author

Pingsan Yuan

2 papers indexed here

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Preprint Sep 2026

Sharp degree bound for rational proper maps from $\mathbb B^2$ to $\mathbb B^4$

We prove that every rational proper holomorphic map from $\mathbb{B}^2$ to $\mathbb{B}^4$ has degree at most $5$, confirming D'Angelo's conjecture in this case. This sharp bound follows from Meylan's degree estimates and an intersection-theoretic argument ruling out degree $6$.

Tian-Zhi Hu, Mai Shi, Pingsan Yuan · 0 citations
Preprint Oct 2026

Rigidity for proper holomorphic ball maps with degenerate CR Gauss map

Let $n$ and $N$ be integers with $2\leq n<N$, and let $F:\mathbb{B}^n\to\mathbb{B}^N$ be a proper holomorphic map that admits a $C^{N-n+1}$-smooth extension to the boundary. We prove that if the CR Gauss map of its boundary restriction is generically degenerate, then $F$ is holomorphically equivalent, under composition...

Tian-Zhi Hu, W. Yin, Pingsan Yuan · 0 citations

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