Fiber criteria for flatness and homomorphisms of flat affine group schemes
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917558211313664 |
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| author | Hai, Phùng Hô Nguyen, Hop D. Santos, João Pedro dos |
| author_facet | Hai, Phùng Hô Nguyen, Hop D. Santos, João Pedro dos |
| contents | A very useful result concerning flatness in Algebraic Geometry is EGA's ``fiber'' criterion. We propose similar fiber criteria to verify flatness of a module while avoiding ``finiteness'' assumptions. Motivated by a Tannakian viewpoint (where the category of representations comes to the front), we derive applications to the theory of affine and flat group schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02006 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fiber criteria for flatness and homomorphisms of flat affine group schemes Hai, Phùng Hô Nguyen, Hop D. Santos, João Pedro dos Commutative Algebra Algebraic Geometry 13C11, 14L15, 14L17 A very useful result concerning flatness in Algebraic Geometry is EGA's ``fiber'' criterion. We propose similar fiber criteria to verify flatness of a module while avoiding ``finiteness'' assumptions. Motivated by a Tannakian viewpoint (where the category of representations comes to the front), we derive applications to the theory of affine and flat group schemes. |
| title | Fiber criteria for flatness and homomorphisms of flat affine group schemes |
| topic | Commutative Algebra Algebraic Geometry 13C11, 14L15, 14L17 |
| url | https://arxiv.org/abs/2401.02006 |