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

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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Publication Details

Journal
Colloquium Mathematicum
Published
2026-11-04
DOI
https://doi.org/10.4064/cm9651-6-2026
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Jianmin Chen, Weikang Weng
Colloquium Mathematicum
Algebraic structures and combinatorial models
article

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

Jianmin Chen, Weikang Weng
article en

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].

Colloquium Mathematicum
Xiamen University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 90%
Algebraic structures and combinatorial models
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An open question for d-tilting bundles on Geigle–Lenzing projective spaces — Jianmin Chen, Weikang Weng · Colloquium Mathematicum (2026) | TGRS Research Map | TGRS