Zhixian Zhu

activity

20122026

collaborators

4 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.AG2019

Generation of jets and Fujita's jet ampleness conjecture on toric varieties

José Luis González, Zhixian Zhu

Jet ampleness of line bundles generalizes very ampleness by requiring the existence of enough global sections to separate not just points and tangent vectors, but also their higher…

math.AG2015

On Fujita's freeness conjecture in dimension 5

Fei Ye, Zhixian Zhu

Let $X$ be a smooth projective variety of dimension $5$ and $L$ be an ample line bundle on $X$ . We show that $∣ K_{X} + 6 L ∣$ is base-point free.

math.AG2012

Jet schemes and singularities of W^r_d(C) loci

Zhixian Zhu

Kempf proved that the theta divisor of a smooth projective curve C has rational singularities. In this paper we estimate the dimensions of the jet schemes of the theta divisor and…