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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-…
math.RT2013
Tilting bundles and the "missing part" on the weighted projective line of type
Jianmin Chen, Yanan Lin, Shiquan Ruan
This paper classifies all the tilting bundles in the category of coherent sheaves on the weighted projective line of weight type , and investigates the abelianness of th…
math.RT2013
Tilting objects in the stable category of vector bundles on the weighted projective line of type (2,2,2,2;λ)
Jianmin Chen, Yanan Lin, Shiquan Ruan
We construct a tilting object for the stable category of vector bundles on a weighted projective line X of type (2,2,2,2;λ), consisting of five rank two bundles and one rank three…