There are no Keller maps having prime degree field extensions
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911961713737728 |
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| author | Moskowicz, Vered |
| author_facet | Moskowicz, Vered |
| contents | The two-dimensional Jacobian Conjecture says that a Keller map $f: (x,y) \mapsto (p,q) \in k[x,y]^2$ having an invertible Jacobian is an automorphism of $k[x,y]$. We prove that there is no Keller map with $[k(x,y): k(p,q)]$ prime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13795 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | There are no Keller maps having prime degree field extensions Moskowicz, Vered Commutative Algebra The two-dimensional Jacobian Conjecture says that a Keller map $f: (x,y) \mapsto (p,q) \in k[x,y]^2$ having an invertible Jacobian is an automorphism of $k[x,y]$. We prove that there is no Keller map with $[k(x,y): k(p,q)]$ prime. |
| title | There are no Keller maps having prime degree field extensions |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2407.13795 |