Admissible Homomorphisms and Equivariant Relations Between Weighted Projective Lines
Admissible Homomorphisms and Equivariant Relations Between Weighted Projective Lines
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DOI：
10.1093/imrn/rnac364
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发表时间：
2020-03
影响因子：
1
通讯作者：
Jianmin Chen;Yanan Lin;Shiquan Ruan;Hongxia Zhang
中科院分区：
文献类型：
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作者：
Jianmin Chen;Yanan Lin;Shiquan Ruan;Hongxia Zhang
弦群通过度移位作用于加权射影直线上的凝聚层范畴。研究了加权射影直线之间的度移位作用所产生的等变关系。我们证明了这样的等变关系是由相关弦群之间的容许同态刻画的。我们将所有这些等变关系分别归类为国内型和管型的加权投影线。
The string group acts on the category of coherent sheaves over a weighted projective line by degree-shift actions. We study the equivariant relations induced by degree-shift actions between weighted projective lines. We prove that such an equivariant relation is characterized by an admissible homomorphism between the associated string groups. We classify all these equivariant relations for the weighted projective lines of domestic and tubular types, respectively.