67 citations · 201 across the 15 of their papers we have counts for
16 papers
Derived McKay correspondence for real reflection groups of rank three
Akira Ishii, Shu Nimura
We describe the derived McKay correspondence for real reflection groups of rank in terms of a maximal resolution of the logarithmic pair consisting of the quotient variety and…
Exceptional collections on
Akira Ishii, Shinnosuke Okawa, Hokuto Uehara
Structure theorems for exceptional objects and exceptional collections of the bounded derived category of coherent sheaves on del Pezzo surfaces are established by Kuleshov and Orl…
Dimer models and group actions
Akira Ishii, Álvaro Nolla de Celis, Kazushi Ueda
We construct a consistent dimer model having the same symmetry as its characteristic polygon. This produces examples of non-commutative crepant resolutions of non-toric non-quotien…
-constellations and the maximal resolution of a quotient surface singularity
Akira Ishii
For a finite subgroup of , we consider the moduli space of -constellations. It depends on the stability parameter and i…
Extended McKay correspondence for quotient surface singularities
Akira Ishii, Iku Nakamura
Let be a finite subgroup of $\mbox{GL}(2)$ acting on freely. The -orbit Hilbert scheme $G\mbox{-Hilb}(\mathbf{A}^2)$ is a minimal resolution of…
Dimer models and crepant resolutions
Akira Ishii, Kazushi Ueda
We study variations of tautological bundles on moduli spaces of representations of quivers with relations associated with dimer models under a change of stability parameters. We pr…