K. Zhou

activity

20112023

collaborators

5 papers

math.CV2023

A uniqueness theorem for meromorphic maps into $P^{n}$ with generic $(2 n + 2)$ hyperplanes

Kai Zhou

Let $H_{1}, \dots, H_{2 n + 2}$ be \emph{generic} $(2 n + 2)$ hyperplanes in $P^{n} .$ It is proved that if meromorphic maps $f$ and $g$ of $C^{m}$ into $P^{n}$ sa…

math.CV2023

Extension of Fujimoto's uniqueness theorems

Kai Zhou

Hirotaka Fujimoto considered two meromorphic maps $f$ and $g$ of $C^{m}$ into $P^{n}$ such that $f^{*} (H_{j}) = g^{*} (H_{j})$ ( $1 \leq j \leq q$ ) for $q$ hyperplanes $…

math.CV2023

A note on Fujimoto's uniqueness theorem with $(2 n + 3)$ hyperplanes

Kai Zhou

Hirotaka Fujimoto proved in [Nagoya Math. J., 1976(64): 117--147] and [Nagoya Math. J., 1978(71): 13--24] a uniqueness theorem for algebraically non-degenerate meromorphic maps int…

math.RT2018

Schubert Class and cyclotomic nilHecke algebras

Kai Zhou, Jun Hu

Let $ℓ, n$ be positive integers such that $ℓ \geq n$ . Let $G_{n, ℓ}$ be the Grassmannian which consists of the set of $n$ -dimensional subspaces of $\mathbb{C}^{\ell…

cs.DM2011

A new proof to complexity of dual basis of a type I optimal normal basis

Baofeng Wu, Kai Zhou, Zhuojun Liu

The complexity of dual basis of a type I optimal normal basis of $F_{q^{n}}$ over $F_{q}$ was determined to be $3 n - 3$ or $3 n - 2$ according as $q$ is even or odd, res…

A uniqueness theorem for meromorphic maps into Pn with generic (2n+2) hyperplanes

Extension of Fujimoto's uniqueness theorems

A note on Fujimoto's uniqueness theorem with (2n+3) hyperplanes

Schubert Class and cyclotomic nilHecke algebras

A new proof to complexity of dual basis of a type I optimal normal basis

A uniqueness theorem for meromorphic maps into $P^{n}$ with generic $(2 n + 2)$ hyperplanes

A note on Fujimoto's uniqueness theorem with $(2 n + 3)$ hyperplanes