39 citations · 123 across the 34 of their papers we have counts for
34 papers
Sasaki-Einstein metrics on connected sums of
Dasol Jeong, In-Kyun Kim, Jihun Park +1
We completely characterize the -fold connected sums of that admit Sasaki-Einstein structures by proving that such a structure exists if and only if is even.
Polarized cylinders on blow-ups of weighted projective planes
In-Kyun Kim, Masatomo Sawahara, Joonyeong Won
We study polarized cylinders in certain rational surfaces arising from blow-ups of weighted projective planes. In particular, we consider the surfaces obtained by blowing up …
DT-GV correspondence on the Mukai-Umemura variety
Kiryong Chung, Joonyeong Won
We compute Donaldson-Thomas(DT) invariants and their descendant invariants for the local Calabi-Yau 4-fold over the Mukai-Umemura variety via several localization formulas. Assumin…
Cylinders in weighted Fano varieties
Adrien Dubouloz, In-Kyun Kim, Takashi Kishimoto +1
Cylinders in Fano varieties receives a lot of attentions recently from the viewpoints of birational geometry and unipotent geometry. In this article, we provide a survey of several…
Automorphism groups and cylindricity of weighted hypersurface Fano threefolds
In-Kyun Kim, Takashi Kishimoto, Joonyeong Won
It is well known that there are totally 130 deformation families of quasi-smooth terminal weighted hypersurface Fano threefolds and all members belonging to 95 families of Fano ind…
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.