Tilting bundles for weighted projective lines of weight type $(p,q)$
Tom 163 / 2021
Colloquium Mathematicum 163 (2021), 197-210
MSC: Primary 14F05, 14H45; Secondary 16G70, 18E30.
DOI: 10.4064/cm7905-9-2019
Opublikowany online: 19 June 2020
Streszczenie
We give a combinatorial description of tilting bundles in the category of coherent sheaves over the weighted projective line of type $(p,q)$. We define a set of admissible paths in the rectangular area $\mathbb {D}_{(p,q)}=[1,p-1]\times [1,q-1]$, and show that there is a bijection between the fundamental tilting bundles and the admissible paths in $\mathbb {D}_{(p,q)}$.
