Zhi-Jun Luo

activity

20242026

collaborators

3 papers

math.AG2026

Heisenberg Equivariant Compactifications of Rational Homogeneous Varieties

Cong Ding, Baohua Fu, Zhijun Luo

Let $G / P$ be a complex projective rational homogeneous variety of dimension $2 m + 1$ . We prove that $G / P$ is an equivariant compactification of the Heisenberg group of dimension $2m+…

math.AG2025

$H_{2 n + 1}$ -structures on odd dimensional projective spaces

Cong Ding, Zhijun Luo

We prove that the Heisenberg group $\h_{2n+1}$ admits infinitely many inequivalent equivariant compactifications into $P^{2 n + 1}$ for all $n \geq 1$ . This result provides an…

math.AG2024

Smooth Euler-symmetric varieties generated by a single polynomial

Cong Ding, Zhijun Luo

We classify smooth Euler-symmetric varieties corresponding to the symbol system generated by a single reduced polynomial.

Heisenberg Equivariant Compactifications of Rational Homogeneous Varieties

H2n+1​-structures on odd dimensional projective spaces

Smooth Euler-symmetric varieties generated by a single polynomial

$H_{2 n + 1}$ -structures on odd dimensional projective spaces