3 papers
math.AG2026
The integral closedness of lattice simplices with large lattice length
Lei Song, Huanqi Wen, Zhixian Zhu
We prove that every -dimensional lattice simplex whose lattice length is integrally closed. As an application, we obtain a simple criterion for the projective…
math.AG2026
On Covering Simplices by Dilations in Dimensions 3 and 4
Lei Song, Huanqi Wen, Zhixian Zhu
We propose a conjecture regarding the integrally closedness of lattice polytopes with large lattice lengths. We demonstrate that a lattice simplex in dimension 3 (resp. 4) with lat…
math.AG2026
On Property of line bundles on smooth projective toric varieties
Lei Song, Huanqi Wen
We establish a criterion for Property for line bundles on a class of smooth projective toric varieties. More precisely, we prove that if a smooth projective toric variety …