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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.AG2020★ 2 cited
K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces
In-Kyun Kim, Takuzo Okada, Joonyeong Won
We prove that the alpha invariant of a quasi-smooth Fano 3-fold weighted hypersurface of index is greater than or equal to . Combining this with the result of Stibitz and…