Yong Hu

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20242026

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math.AG2026

On the canonical degree of a Gorenstein minimal threefold of general type

Jiabin Du, Yong Hu

Let $X$ be a Gorenstein minimal $3$ -fold of general type whose canonical map is generically finite. We prove that if $p_{g} (X) > 243$ , then the degree of the canonical map is at most…

math.AG2024

Moduli spaces of threefolds on the Noether line

Stephen Coughlan, Yong Hu, Roberto Pignatelli +1

In this paper, we study the moduli spaces of canonical threefolds with any prescribed geometric genus $p_{g} \geq 5$ which have the smallest possible canonical volume. This minimal vo…

math.AG2024

Noether inequality for irregular threefolds of general type

Yong Hu, Tong Zhang

Let $X$ be a smooth irregular $3$ -fold of general type over $C$ . We prove that the optimal Noether inequality $vol (X) \geq \frac{4}{3} p_{g} (X)$ holds if $p_g(X)…