An open question for $d$-tilting bundles on Geigle–Lenzing projective spaces
Colloquium Mathematicum
MSC: Primary 16G10; Secondary 16G50, 18G80
DOI: 10.4064/cm9651-6-2026
Published online: 4 November 2026
Abstract
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].
