An open question for $d$-tilting bundles on Geigle-Lenzing projective spaces

Jianmin Chen; Weikang Weng

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An open question for $d$-tilting bundles on Geigle-Lenzing projective spaces

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arxiv 2503.16259 v1 pith:RGT65GXF submitted 2025-03-20 math.RT

Jianmin Chen , Weikang Weng This is my paper · ORCID

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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 non-examples for an open question raised by Herschend, Iyama, Minamoto and Oppermann in the paper "Representation theory of Geigle-Lenzing complete intersections".

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