论文标题

加权线条之间的可接受的同态和同等关系

Admissible homomorphisms and equivariant relations between weighted projective lines

论文作者

Chen, Jianmin, Lin, Yanan, Ruan, Shiquan, Zhang, Hongxia

论文摘要

字符串组通过学位迁移动作在加权投影线上的连贯滑轮类别作用。我们研究了由加权投影线之间的学位迁移作用引起的等效性关系。我们证明,这种等效等效性的特征是相关的字符串组之间的同态同态。我们为国内和管状类型的加权投影线分类所有这些均等等效性。

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-shift actions between weighted projective lines. We prove that such an equivariant equivalence is characterized by an admissible homomorphism between the associated string groups. We classify all these equivariant equivalences for the weighted projective lines of domestic and tubular types.

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