Xiaozong Wang

activity

20202022

most citedOn the Bertini regularity theorem for arithmetic varieties

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2022

Smoothing of 1-cycles over finite fields

Xiaozong Wang

Let $X$ be a smooth projective variety defined over a finite field. We show that any algebraic $1$ -cycle on $X$ is rationally equivalent to a smooth $1$ -cycle, which is a $\mathbb{…

math.AG2021

The $θ$ -density in Arakelov geometry

Xiaozong Wang

In this article, we construct a $θ$ -density for the global sections of ample Hermitian line bundles on a projective arithmetic variety. We show that this density has similar behavi…

math.AG2020★ 1 cited

On the Bertini regularity theorem for arithmetic varieties

Xiaozong Wang

Let $X$ be a regular projective arithmetic variety equipped with an ample hermitian line bundle $L$ . We prove that the proportion of global sections…

Smoothing of 1-cycles over finite fields

The θ-density in Arakelov geometry

On the Bertini regularity theorem for arithmetic varieties

The $θ$ -density in Arakelov geometry