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arXiv · 2605.22474

Ishii's conjecture and Bridgeland stability conditions for dihedral reflection groups

Shu Nimura
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Abstract

We provide a new proof of Ishii's conjecture for any dihedral reflection group $G\subset GL_2(\mathbb{C})$ 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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Shu Nimura. 2026-05-21. Ishii's conjecture and Bridgeland stability conditions for dihedral reflection groups. https://arxiv.org/abs/2605.22474

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