In-Kyun Kim

activity

20192026

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Showing math.AGShow all

6 papers · 1 filter

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.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…

math.AG2019

Spectrum of non-degenerate functions with simplicial Newton polytopes

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

We show a precise proof of Steenbrink's formula for the spectrum of convenient Newton non-degenerate functions, and prove the symmetry of combinatorial polynomials in the simplicia…