Tong Zhang

activity

20122022

most citedEffective bound of linear series on arithmetic surfaces

9 citations · 17 across the 10 of their papers we have counts for

collaborators

10 papers

math.AG2022★ 1 cited

Algebraic threefolds of general type with small volume

Yong Hu, Tong Zhang

It is known that the optimal Noether inequality $vol (X) \geq \frac{4}{3} p_{g} (X) - \frac{10}{3}$ holds for every $3$ -fold $X$ of general type with $p_{g} (X) \geq 11$ . In this pa…

math.AG2020

Noether-Severi inequality and equality for irregular threefolds of general type

Yong Hu, Tong Zhang

We prove the optimal Noether-Severi inequality that $vol (X) \geq \frac{4}{3} χ (ω_{X})$ for all smooth and irregular $3$ -folds $X$ of general type over $C$ . For tho…

math.AG2019

Relative Severi inequality for fibrations of maximal Albanese dimension over curves

Yong Hu, Tong Zhang

Let $f : X \to B$ be a relatively minimal fibration of maximal Albanese dimension from a variety $X$ of dimension $n \geq 2$ to a curve $B$ defined over an algebraically closed field…

math.AG2018

Fibered varieties over curves with low slope and sharp bounds in dimension three

Yong Hu, Tong Zhang

In this paper, we first construct varieties of any dimension $n > 2$ fibered over curves with low slopes. These examples violate the conjectural slope inequality of Barja and Stoppin…

math.AG2017★ 4 cited

Relative Clifford inequality for varieties fibered by curves

Tong Zhang

We prove a sharp relative Clifford inequality for relatively special divisors on varieties fibered by curves. It generalizes the classical Clifford inequality about a single curve…

math.NT2014★ 1 cited

Effective Bounds of Linear Series on Algebraic Varieties and Arithmetic Varieties

Xinyi Yuan, Tong Zhang

In this paper, we prove effective upper bounds for effective sections of line bundles on projective varieties and hermitian line bundles on arithmetic varieties in terms of the vol…