Jiexiang Huang

activity

20232026

collaborators

3 papers

math.AG2026

Constant cycle surfaces on Fano varieties of cubic fourfolds

Jiexiang Huang

Huybrechts proved the finiteness of constant cycle curves of fixed order in any linear system $∣ L ∣$ on a K3 surface. In this paper, we study constant cycle surfaces on the Fano var…

math.AG2025

Elliptic constant cycle curves on Kummer surfaces

Jiexiang Huang

The order of a constant cycle curve $C \subset X$ on a K3 surface, defined by Huybrechts, is a positive integer that measures the obstruction to decomposing the diagonal class $Δ_C…

math.AG2023

The Curves of Elliptic Nodes on K3 Surfaces

Jiexiang Huang

Let $(X, L)$ be a polarized K3 surface of genus $g$ and $C_{e n} \subset X$ be the curve of singular points of nodal elliptic curves in $∣ L ∣$ . When $(X, L)$ is generic of genus two, H…