On polynomial automorphisms of Nagata type
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_ | 1866909854698831872 |
|---|---|
| author | Huarcaya, Jorge A. C. Palacios, Joe |
| author_facet | Huarcaya, Jorge A. C. Palacios, Joe |
| contents | We define a family of polynomial ring homomorphisms generalizing the well-known Nagata automorphism. We establish necessary and sufficient conditions under which these homomorphisms are automorphisms, and verify that they satisfy the Jacobian conjecture. Additionally, we provide a necessary condition within this family to obtain wild automorphisms, and independently derive a property related to the upper semicontinuity of the Łojasiewicz exponent at infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12523 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On polynomial automorphisms of Nagata type Huarcaya, Jorge A. C. Palacios, Joe Algebraic Geometry Commutative Algebra We define a family of polynomial ring homomorphisms generalizing the well-known Nagata automorphism. We establish necessary and sufficient conditions under which these homomorphisms are automorphisms, and verify that they satisfy the Jacobian conjecture. Additionally, we provide a necessary condition within this family to obtain wild automorphisms, and independently derive a property related to the upper semicontinuity of the Łojasiewicz exponent at infinity. |
| title | On polynomial automorphisms of Nagata type |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2401.12523 |