7 citations · 21 across the 14 of their papers we have counts for
14 papers · 1 filter
Nonlinear neighborhoods of smooth curves and arbitrarily negative Wahl defects
Heesang Park, Dongsoo Shin
We develop a theory of nonlinear neighborhoods of smooth projective curves of genus at least two, constructed by gluing products of open subsets of a curve with a disc using nonlin…
Positivity of Wahl defects and representations from index-one covers
Heesang Park, Dongsoo Shin
Let \((X,E) \to (V,0)\) be the minimal good resolution of a normal complex surface singularity, with \(E\) reduced. The Wahl defect is \(Δ(V,0) :=h^1(\mathcal{O}_X)-h^1(S_X)+h^1(\b…
Normal complex surface singularities with rational homology disk smoothings
Márton Beke, Heesang Park, Dongsoo Shin +1
We prove that a normal surface singularity whose minimal good resolution graph has at least two nodes does not admit a rational homology disk smoothing. Together with the earlier g…
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,…
Milnor fibers and symplectic fillings of quotient surface singularities
Heesang Park, Jongil Park, Dongsoo Shin +1
We determine a one-to-one correspondence between Milnor fibers and minimal symplectic fillings of a quotient surface singularity (up to diffeomorphism type) by giving an explicit a…
Normal complex surface singularities with rational homology disk smoothings
Heesang Park, Dongsoo Shin, András I. Stipsicz
In this paper we show that if the minimal good resolution graph of a normal surface singularity contains at least two nodes (i.e. vertex with valency at least 3) then the singulari…