On Noether's Degree Bound for Finite Group Schemes
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912404297744384 |
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| author | Kemper, Gregor Liedtke, Christian Ott, Christiane |
| author_facet | Kemper, Gregor Liedtke, Christian Ott, Christiane |
| contents | This paper establishes Noether's classical degree bound $β(G) \le |G|$ for finite and linearly reductive group schemes. On the other hand, we provide examples of infinitesimal group schemes where $β(G)$ is unbounded. We also generalize Molien's formula to finite and linearly reductive group schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_24752 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Noether's Degree Bound for Finite Group Schemes Kemper, Gregor Liedtke, Christian Ott, Christiane Commutative Algebra 13A50, 14L24, 14L15 This paper establishes Noether's classical degree bound $β(G) \le |G|$ for finite and linearly reductive group schemes. On the other hand, we provide examples of infinitesimal group schemes where $β(G)$ is unbounded. We also generalize Molien's formula to finite and linearly reductive group schemes. |
| title | On Noether's Degree Bound for Finite Group Schemes |
| topic | Commutative Algebra 13A50, 14L24, 14L15 |
| url | https://arxiv.org/abs/2505.24752 |