In-Kyun Kim

activity

20242026

collaborators

6 papers

math.AG2026

Flexibility of affine cones over blow-ups of weighted projective planes

In-Kyun Kim, Dae-Won Lee, Masatomo Sawahara

Let $S_{m}^{n}$ be the surface obtained by blowing up $P (1, 1, m)$ at $n$ general smooth points, where $m \geq 2$ . For every very ample Cartier divisor $H$ on $S_{m}^{n}$ , we prove th…

math.AG2025

Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero

In-Kyun Kim, Dae-Won Lee, Masatomo Sawahara

In this paper, we study the cylindricity of $k$ -forms of singular del Pezzo surfaces obtained by blowing up weighted projective planes $P (1, 1, m)$ over an arbitrary fie…

math.CV2025

Subtlety of oscillation indices of oscillatory integrals of real analytic functions

In-Kyun Kim, Morihiko Saito

For a locally defined real analytic function $f$ , we study the relation between the oscillation index of oscillatory integrals and the real log canonical threshold. The former is a…

math.AG2024

Tjurina spectrum and graded symmetry of missing spectral numbers

Seung-Jo Jung, In-Kyun Kim, Morihiko Saito +1

For a hypersurface isolated singularity defined by a convergent power series $f$ , the Steenbrink spectrum can be defined as the Poincaré polynomial of the graded quotients of the $…

math.AG2024

Wall-crossing for K-moduli spaces of certain families of weighted projective hypersurfaces

In-Kyun Kim, Yuchen Liu, Chengxi Wang

We describe the K-moduli spaces of weighted hypersurfaces of degree $2 (n + 3)$ in $P (1, 2, n + 2, n + 3)$ . We show that the K-polystable limits of these weighted hypersurfaces are…

math.AG2024

Some remarks on the generalized Hertling conjecture for Tjurina spectrum

Seung-Jo Jung, In-Kyun Kim, Morihiko Saito +1

We study the original version of the generalized Hertling conjecture on the variance of the Tjurina spectral numbers, which was proposed by Shi, Wang, and Zuo, and provide a suffic…