Frobenius quotients, inflation categories and weighted projective lines
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866915912044511232 |
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| author | Chen, Xiao-Wu Dong, Qiang Ruan, Shiquan |
| author_facet | Chen, Xiao-Wu Dong, Qiang Ruan, Shiquan |
| contents | We propose the notion of Frobenius quotients between Frobenius exact categories. It turns out that any Frobenius quotient induces Frobenius quotients between the corresponding inflation categories. We obtain an explicit Frobenius quotient from the category of vector bundles on weighted projective lines with three weights to a certain category consisting of monomorphism grids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02626 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Frobenius quotients, inflation categories and weighted projective lines Chen, Xiao-Wu Dong, Qiang Ruan, Shiquan Category Theory Rings and Algebras Representation Theory 18G65, 18G25, 16W50, 18G05 We propose the notion of Frobenius quotients between Frobenius exact categories. It turns out that any Frobenius quotient induces Frobenius quotients between the corresponding inflation categories. We obtain an explicit Frobenius quotient from the category of vector bundles on weighted projective lines with three weights to a certain category consisting of monomorphism grids. |
| title | Frobenius quotients, inflation categories and weighted projective lines |
| topic | Category Theory Rings and Algebras Representation Theory 18G65, 18G25, 16W50, 18G05 |
| url | https://arxiv.org/abs/2604.02626 |