5 papers
Subtlety of oscillation indices of oscillatory integrals of real analytic functions
In-Kyun Kim, Morihiko Saito
For a locally defined real analytic function , we study the relation between the oscillation index of oscillatory integrals and the real log canonical threshold. The former is a…
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 -forms of singular del Pezzo surfaces obtained by blowing up weighted projective planes over an arbitrary fie…
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…
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 in . We show that the K-polystable limits of these weighted hypersurfaces are…
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 , the Steenbrink spectrum can be defined as the Poincaré polynomial of the graded quotients of the…