Chiwon Yoon

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math.AG2026

Nef cone decompositions for nested Hilbert schemes of points on surfaces

Chiwon Yoon

Let $S$ be a smooth projective surface with $q (S) = 0$ . We give numerical criteria for the nef cones of $S^{[n, n + 1]}$ and $S^{[1, n]}$ to decompose as sums of pullbacks of nef cones u…

math.AG2026

Nef Cones of the Hilbert Schemes of Points on Generalized Cayley K3 Surfaces

Chiwon Yoon

We study the nef cones and fundamental domains of Hilbert schemes of points on the Cayley K3 surface $S$ and its generalizations $S_{a}$ . For the Hilbert square $S^{[2]}$ , we explici…

math.AG2024

Secant variety and syzygies of Hilbert scheme of two points

Chiwon Yoon, Haesong Seo

In this paper, we prove that $Sec (X^{[2]})$ features the identifiability under the Grothendieck-Plücker embedding $X^{[2]} \hookrightarrow \PP^N$ when $X$ is embedded by…