10 citations · 13 across the 8 of their papers we have counts for
8 papers
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 , giving a sharp bound on the number of blow-u…
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 from the cotangent bundle of a del Pezzo surface of degree 4 to . More…
Bigness of the tangent bundle of a Fano threefold with Picard number two
Hosung Kim, Jeong-Seop Kim, Yongnam Lee
In this paper, we study the positivity property of the tangent bundle of a Fano threefold with Picard number 2. We determine the bigness of the tangent bundle of the whol…
Normalization of congruence of bitangents to a hypersurface in
Hosung Kim, Yongnam Lee
A congruence is a surface in the Grassmannian . In this paper, we consider the normalization of congruence of bitangents to a hypersurface in . We call…
The Abel-Jacobi map of the space of conics for double sextic threefolds
Hosung Kim, Yongnam Lee
Let be a double cover of branched along a sextic surface . In this paper, we show that, for general , the Abel-Jacobi map associated to the normalization $\…
Varieties of minimal rational tangents on double covers of projective space
Jun-Muk Hwang, Hosung Kim
Let be a double cover branched along a smooth hypersurface of degree . We study the varieties of minimal rational tangents $\mathcal C…
Slopes of smooth curves on Fano manifolds
Jun-Muk Hwang, Hosung Kim, Yongnam Lee +1
Ross and Thomas introduced the concept of slope stability to study K-stability, which has conjectural relation with the existence of constant scalar curvature Kähler metric. This p…
Chow Stability of Curves of Genus 4 in P^3
Hosung Kim
In the paper, we study the GIT construction of the moduli space of Chow semistable curves of genus 4 in P^3. By using the GIT method developed by Mumford and a deformation theoreti…