Hosung Kim

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20132026

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math.AG2026

Bigness of tangent bundles of blow-ups of ruled surfaces

Hosung Kim, Jeong-Seop Kim

We determine when the bigness of the tangent bundle is preserved under point blow-ups of a ruled surface $S = P_{C} (E)$ , giving a sharp bound on the number of blow-u…

math.AG2022

Lagrangian fibration structure on the cotangent bundle of a del Pezzo surface of degree 4

Hosung Kim, Yongnam Lee

In this paper, we show that there is a natural Lagrangian fibration structure on the map $Φ$ from the cotangent bundle of a del Pezzo surface $X$ of degree 4 to $C^{2}$ . More…

math.AG2021

Normalization of congruence of bitangents to a hypersurface in $P^{3}$

Hosung Kim, Yongnam Lee

A congruence is a surface in the Grassmannian $Gr (2, 4)$ . In this paper, we consider the normalization of congruence of bitangents to a hypersurface in $P^{3}$ . We call…

math.AG2013

Varieties of minimal rational tangents on double covers of projective space

Jun-Muk Hwang, Hosung Kim

Let $ϕ : X \to P^{n}$ be a double cover branched along a smooth hypersurface of degree $2 m, 2 \leq m \leq n - 1$ . We study the varieties of minimal rational tangents $\mathcal C…

Bigness of tangent bundles of blow-ups of ruled surfaces

Lagrangian fibration structure on the cotangent bundle of a del Pezzo surface of degree 4

Normalization of congruence of bitangents to a hypersurface in P3

Varieties of minimal rational tangents on double covers of projective space

Normalization of congruence of bitangents to a hypersurface in $P^{3}$