Pingsan Yuan

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math.CV2026

Regular multi-types and the Bloom conjecture II

Jiaqing Chen, Xiaojun Huang, Wanke Yin +1

Let $M \subset C^{n}$ $(n \geq 2)$ be a smooth pseudoconvex real hypersurface. We prove that, for every $1 \leq s \leq n - 1$ , the regular $s$ -contact type, the $s$ -commutator type,…

math.CV2026

Rigidity for proper holomorphic ball maps with degenerate CR Gauss map

Tianzhi Hu, Wanke Yin, Pingsan Yuan

Let $n$ and $N$ be integers with $2 \leq n < N$ , and let $F : B^{n} \to B^{N}$ be a proper holomorphic map that admits a $C^{N - n + 1}$ -smooth extension to the boundary. We pro…

math.CV2026

Sharp degree bound for rational proper maps from $B^{2}$ to $B^{4}$

Tianzhi Hu, Mai Shi, Pingsan Yuan

We prove that every rational proper holomorphic map from $B^{2}$ to $B^{4}$ has degree at most $5$ , confirming D'Angelo's conjecture in this case. This sharp bound fo…

Regular multi-types and the Bloom conjecture II

Rigidity for proper holomorphic ball maps with degenerate CR Gauss map

Sharp degree bound for rational proper maps from B2 to B4

Sharp degree bound for rational proper maps from $B^{2}$ to $B^{4}$