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- W4320921419 abstract "We investigate group actions on the category of coherent sheaves over weighted projective lines. We show that the equivariant category with respect to certain finite group action is equivalent to the category of coherent sheaves over a weighted projective curve, where the genus of the underlying smooth projective curve and the weight data are given by explicit formulas. Moreover, we obtain a trichotomy result for all such equivariant relations. This equivariant approach provides an effective way to investigate smooth projective curves via weighted projective lines. As an application, we give a description for the category of coherent sheaves over a hyperelliptic curve of arbitrary genus. Links to smooth projective curves of genus 2 and also to Arnold's exceptional unimodal singularities are also established." @default.
- W4320921419 created "2023-02-16" @default.
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- W4320921419 date "2021-04-19" @default.
- W4320921419 modified "2023-09-30" @default.
- W4320921419 title "Equivariant approach to weighted projective curves" @default.
- W4320921419 doi "https://doi.org/10.48550/arxiv.2104.09086" @default.
- W4320921419 hasPublicationYear "2021" @default.
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