In-Kyun Kim

activity

20152023

most citedHodge ideal and spectrum of weighted homogeneous isolated singularities

1 citations · 3 across the 6 of their papers we have counts for

collaborators

9 papers

math.AG2023

K-polystability of the first secant varieties of rational normal curves

In-Kyun Kim, Jinhyung Park, Joonyeong Won

The first secant variety $Σ$ of a rational normal curve of degree $d \geq 3$ is known to be a $Q$ -Fano threefold. In this paper, we prove that $Σ$ is K-polystable, and hen…

math.DG2022

New Sasaki-Einstein 5-manifolds

Dasol Jeong, In-Kyun Kim, Jihun Park +1

We prove that closed simply connected $5$ -manifolds $2 (S^{2} \times S^{3}) # n M_{2}$ allow Sasaki-Einstein structures, where $M_{2}$ is the closed simply connected $5$ -manifold with $\mathr…

math.AG2022

K-stability of log del Pezzo hypersurfaces with index 2

In-Kyun Kim, Nivedita Viswanathan, Joonyeong Won

We completely classify K-stability of log del Pezzo hypersurfaces with index 2.

math.AG2020★ 1 cited

Unstable singular del Pezzo hypersurfaces with lower index

In-kyun Kim, Joonyeong Won

We give examples of K-unstable singular del Pezzo surfaces which are weighted hypersurfaces with index 2.

math.AG2019★ 1 cited

Alpha invariants of birationally bi-rigid Fano 3-folds I

In-Kyun Kim, Takuzo Okada, Joonyeong Won

We compute global log canonical thresholds of certain birationally bi-rigid Fano 3-folds embedded in weighted projective spaces as complete intersections of codimension 2 and prove…

math.AG2018★ 1 cited

Hodge ideal and spectrum of weighted homogeneous isolated singularities

Seung-Jo Jung, In-Kyun Kim, Youngho Yoon

This note provides a connection between the Hodge spectrum and the Hodge ideals recently developed by Mustaţǎ--Popa in the case of weighted homogeneous isolated singularities.