Equivariant vector bundles over the complex projective line
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913380130881536 |
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| author | Biswas, Indranil Machu, Francois-Xavier |
| author_facet | Biswas, Indranil Machu, Francois-Xavier |
| contents | Let $G$ be a finite abelian group acting faithfully on ${\mathbb C}{\mathbb P}^1$ via holomorphic automorphisms. In \cite{DF2} the $G$--equivariant algebraic vector bundles on $G$--invariant affine open subsets of ${\mathbb C}{\mathbb P}^1$ were classified. We classify the $G$--equivariant algebraic vector bundles on ${\mathbb C}{\mathbb P}^1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03926 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivariant vector bundles over the complex projective line Biswas, Indranil Machu, Francois-Xavier Algebraic Geometry 14H60, 14F06, 14L30 Let $G$ be a finite abelian group acting faithfully on ${\mathbb C}{\mathbb P}^1$ via holomorphic automorphisms. In \cite{DF2} the $G$--equivariant algebraic vector bundles on $G$--invariant affine open subsets of ${\mathbb C}{\mathbb P}^1$ were classified. We classify the $G$--equivariant algebraic vector bundles on ${\mathbb C}{\mathbb P}^1$. |
| title | Equivariant vector bundles over the complex projective line |
| topic | Algebraic Geometry 14H60, 14F06, 14L30 |
| url | https://arxiv.org/abs/2406.03926 |