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math.RT2025
Tilting Objects via Recollements and -Cycles on Weighted Projective Lines
Qiang Dong, Hongxia Zhang
In this paper, we provide a new method for constructing tilting objects in a triangulated category via recollements. The -cycle approach to exceptional curve processes significa…
math.RT2021
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…
math.RT2020★ 1 cited
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-…