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We construct a family of 2-tilting bundles on a Geigle–Lenzing projective space of type (2,2,p,q) via the action of iterated 2-APR mutations. As an application, we give some counterexamples to an open question raised by Herschend et al. [Mem. Amer. Math. Soc. 285 (2023), no. 1412].
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Chen et al. (2026) studied this question.
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