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math.AG2023
K-polystability of the first secant varieties of rational normal curves
In-Kyun Kim, Jinhyung Park, Joonyeong Won
The first secant variety of a rational normal curve of degree is known to be a -Fano threefold. In this paper, we prove that is K-polystable, and hen…
math.AG2023
K-unstable singular del Pezzo surfaces without anticanonical polar cylinder
In-Kyun Kim, Jaehyun Kim, Joonyeong Won
We prove the existence of singular del Pezzo surfaces that are neither K-semistable nor contain any anticanonical polar cylinder.