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Admissible homomorphisms and equivariant relations between weighted projective lines

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arxiv 2003.00462 v1 pith:AP5TXF4L submitted 2020-03-01 math.RT math.RA

Jianmin Chen , Yanan Lin , Shiquan Ruan , Hongxia Zhang This is my paper · ORCID
classification math.RTmath.RA
keywords equivariantprojectiveweightedlinesactionsadmissibledegree-shiftequivalence
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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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