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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 , 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 in . 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…