Ishii's conjecture and Bridgeland stability conditions for dihedral reflection groups
Abstract
We provide a new proof of Ishii's conjecture for any dihedral reflection group G⊂ GL2(C) from the viewpoint of Bridgeland stability conditions. Our strategy is to reduce the problem, via the derived McKay correspondence, to a geometric construction of Bridgeland stability conditions on the root stack of the maximal resolution along the strict transform of the discriminant divisor.
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