3 problems

Indecomposable ACM-bundle conjecture. Each indecomposable ACM bundle of rank four is a $2$-extension bundle, and no indecomposable ACM bundle has rank two or three.

Let $\mathbb{X}$ be a Geigle–Lenzing projective space and let $d$ be its dimension parameter. A $d$-tilting bundle on $\mathbb{X}$ is a tilting bundle whose endomorphism algebra ha…

Let $(R,\mathbb{L})$ be a Geigle–Lenzing complete intersection, with canonical element $\vec{\omega}\in\mathbb{L}$, and let $d$ be the relevant dimension parameter. The pair…