1 citations · 2 across the 8 of their papers we have counts for
9 papers
Derived equivalences between one-branch extensions of "rectangles"
Qiang Dong, Yanan Lin, Shiquan Ruan
In this paper we investigate the incidence algebras arising from one-branch extensions of "rectangles". There are four different ways to form such extensions, and all four kinds of…
Equivariant approach to weighted projective curves
Qiang Dong, Shiquan Ruan, Hongxia Zhang
We investigate group actions on the category of coherent sheaves over weighted projective lines. We show that the equivariant category with respect to certain finite group action i…
Admissible homomorphisms and equivariant relations between weighted projective lines
Jianmin Chen, Yanan Lin, Shiquan Ruan +1
The string group acts on the category of coherent sheaves over a weighted projective line by degree-shift actions. We study the equivariant equivalence relations induced by degree-…
Recollements and Ladders for weighted projective lines
Shiquan Ruan
In this paper, we construct recollements and ladders for exceptional curves by using reduction/insertion functors due to -cycle construction. As applications to weighted project…
On tubular tilting objects in the stable category of vector bundles
Jianmin Chen, Yanan Lin, Shiquan Ruan
The present paper focuses on the study of the stable category of vector bundles for the weighted projective lines of weight triple. We find some important triangles in this categor…
Applications of mutations in the derived categories of weighted projective lines to Lie and quantum algebras
Bangming Deng, Shiquan Ruan, Jie Xiao
Let be the category of coherent sheaves over a weighted projective line and let be its bounded derived category. The pre…