Admissible homomorphisms and equivariant relations between weighted projective lines
Representation Theory
2020-03-03 v1 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.2003.00462,
title = {Admissible homomorphisms and equivariant relations between weighted projective lines},
author = {Jianmin Chen and Yanan Lin and Shiquan Ruan and Hongxia Zhang},
journal= {arXiv preprint arXiv:2003.00462},
year = {2020}
}
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27pages