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math.AG2025
Rigid affine cones over singular del Pezzo surfaces
In-Kyun Kim, Jaehyun Kim, Joonyeong Won
We completely determine the existence of anticanonical polar cylinders in quasi-smooth log del Pezzo surfaces of index one.
math.AG2016
An algebraic proof of K-semistability of the projective plane
Jihun Park, Joonyeong Won
We present an algebro-geometric proof of the K-semistability of the projective plane.
math.AG2016
Product Theorem for K-stability
Jihun Park, Joonyeong Won
We study K-stability of products of K-stable -Fano varieties.