Inverse limits of automorphisms of truncated polynomials and applications related to Jacobian conjecture
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914646851584000 |
|---|---|
| author | Chang, Hao Shu, Bin Yao, Yu-Feng |
| author_facet | Chang, Hao Shu, Bin Yao, Yu-Feng |
| contents | In this note, we investigate Jacobian conjecture through investigation of automorphisms of polynomial rings in characteristic $p$. Making use of the technique of inverse limits, we show that under Jacobian condition for a given homomorphism $φ$ of the polynomial ring $\mathbf{k}[x_1,\ldots,x_n]$, if $φ$ preserves the maximal ideals, then $φ$ is an automorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11072 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inverse limits of automorphisms of truncated polynomials and applications related to Jacobian conjecture Chang, Hao Shu, Bin Yao, Yu-Feng Algebraic Geometry Rings and Algebras Representation Theory In this note, we investigate Jacobian conjecture through investigation of automorphisms of polynomial rings in characteristic $p$. Making use of the technique of inverse limits, we show that under Jacobian condition for a given homomorphism $φ$ of the polynomial ring $\mathbf{k}[x_1,\ldots,x_n]$, if $φ$ preserves the maximal ideals, then $φ$ is an automorphism. |
| title | Inverse limits of automorphisms of truncated polynomials and applications related to Jacobian conjecture |
| topic | Algebraic Geometry Rings and Algebras Representation Theory |
| url | https://arxiv.org/abs/2401.11072 |