Lei Song

collaborators

3 papers

math.AG2026

The integral closedness of lattice simplices with large lattice length

Lei Song, Huanqi Wen, Zhixian Zhu

We prove that every $n$ -dimensional lattice simplex $P$ whose lattice length $L (P) \geq n - 1$ is integrally closed. As an application, we obtain a simple criterion for the projective…

math.AG2026

On Property $N_{p}$ of line bundles on smooth projective toric varieties

Lei Song, Huanqi Wen

We establish a criterion for Property $N_{p}$ for line bundles on a class of smooth projective toric varieties. More precisely, we prove that if a smooth projective toric variety $X$ …

math.AG2025

On the quantum cohomology of blow-ups of four-dimensional quadrics

Jianxun Hu, Huazhong Ke, Changzheng Li +1

We propose a conjecture relevant to Galkin's lower bound conjecture, and verify it for the blow-ups of a four-dimensional quadric at a point or along a projective plane. We also sh…

The integral closedness of lattice simplices with large lattice length

On Property Np​ of line bundles on smooth projective toric varieties

On the quantum cohomology of blow-ups of four-dimensional quadrics

On Property $N_{p}$ of line bundles on smooth projective toric varieties