Jianmin Chen

collaborators

4 papers

math.RT2025

ACM tilting bundles on a Geigle-Lenzing projective plane of type $(2, 2, 2, p)$

Jianmin Chen, Shiquan Ruan, Weikang Weng

Let $X$ be a Geigle-Lenzing projective plane of type $(2, 2, 2, p)$ and $coh X$ the category of coherent sheaves on $X$ . This paper is devoted to s…

math.RT2025

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

Jianmin Chen, Weikang Weng

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…

math.AG2025

Brieskorn-Pham singularities via ACM bundles on Geigle-Lenzing projective spaces

Jianmin Chen, Shiquan Ruan, Weikang Weng

We study the singularity category of the Brieskorn-Pham singularity $R = k [X_{1}, \dots, X_{4}] / (\sum_{i = 1}^{4} X_{i}^{p_{i}})$ , associated with the Geigle-Lenzing projective space $\mathbb{…

math.RT2025

Geometric-combinatorial approaches to tilting theory for weighted projective lines

Jianmin Chen, Jinfeng Zhang

We provide a geometric-combinatorial model for the category of coherent sheaves on the weighted projective line of type (2,2,n) via a cylindrical surface with n marked points on ea…

ACM tilting bundles on a Geigle-Lenzing projective plane of type (2,2,2,p)

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

Brieskorn-Pham singularities via ACM bundles on Geigle-Lenzing projective spaces

Geometric-combinatorial approaches to tilting theory for weighted projective lines

ACM tilting bundles on a Geigle-Lenzing projective plane of type $(2, 2, 2, p)$

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