7 citations · 20 across the 17 of their papers we have counts for
19 papers
Deformations of weighted homogeneous surface singularities with big central node
Jaekwan Jeon, Dongsoo Shin
We prove Kollár conjecture for weighted homogeneous surface singularities with big central node. More precisely, we show that every irreducible component of the deformation space o…
Deformations of sandwiched surface singularities and the minimal model program
Heesang Park, Dongsoo Shin
We investigate the correspondence between three theories of deformations of rational surface singularities: de Jong and van Straten's picture deformations, Kollár's P-resolutions,…
Symplectic rational blow-ups on rational 4-manifolds
Heesang Park, Dongsoo Shin
We prove that if a symplectic 4-manifold becomes a rational 4-manifold after applying rational blow-down surgery, then the symplectic 4-manifold is originally rational. Tha…
Simple embeddings of rational homology balls and antiflips
Heesang Park, Dongsoo Shin, Giancarlo Urzúa
Let be a regular neighborhood of a negative chain of -spheres (i.e. exceptional divisor of a cyclic quotient singularity), and let be a rational homology ball whic…
Symplectic fillings of quotient surface singularities and minimal model program
Hakho Choi, Heesang Park, Dongsoo Shin
We prove that every minimal symplectic filling of the link of a quotient surface singularity can be obtained from its minimal resolution by applying a sequence of rational blow-dow…
Rational homology balls in -handlebodies
Heesang Park, Dongsoo Shin
We prove that there are rational homology balls smoothly embedded in the -handlebodies associated to certain knots. Furthermore we show that, if we rationally blow up the…