@article{oai:nagoya.repo.nii.ac.jp:00028709, author = {Ishii, Akira and Nakamura, Iku}, issue = {2}, journal = {The Quarterly Journal of Mathematics}, month = {Jun}, note = {Let G be a finite subgroup of GL(2) acting on A^2/{0} freely. The G-orbit Hilbert scheme G-Hilb(A^2) is a minimal resolution of the quotient A^2/G as given by A. Ishii, On the McKay correspondence for a finite small subgroup of GL(2,C), J. Reine Angew. Math. 549 (2002), 221–233. We determine the generator sheaf of the ideal defining the universal G-cluster over G-Hilb(A^2)⁠, which somewhat strengthens a version [10] of the well-known McKay correspondence for a finite subgroup of SL(2)⁠., Online Published: 04 October 2018}, pages = {395--408}, title = {Extended McKay correspondence for quotient surface singularities}, volume = {70}, year = {2019} }