Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2509.14584 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909794823045120 |
|---|---|
| author | Shao, Enbo Sun, Xiaosong |
| author_facet | Shao, Enbo Sun, Xiaosong |
| contents | In this paper, let k be the affine n-space over an arbitrary field k. We show that dynamical degrees of affine-triangular automorphisms in dimension 4 are algebraic integers of degree not larger than 4. As a consequence, if char(k) is not equal to 2, then dynamical degrees of quadratic automorphisms in dimension 4 are algebraic integers of degree not larger than 4. We also explore some results in higher dimensions. These results partially give the affirmative answer to the Conjecture in DF21 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14584 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical degrees of affine-triangular automorphisms in dimension four Shao, Enbo Sun, Xiaosong Algebraic Geometry Dynamical Systems In this paper, let k be the affine n-space over an arbitrary field k. We show that dynamical degrees of affine-triangular automorphisms in dimension 4 are algebraic integers of degree not larger than 4. As a consequence, if char(k) is not equal to 2, then dynamical degrees of quadratic automorphisms in dimension 4 are algebraic integers of degree not larger than 4. We also explore some results in higher dimensions. These results partially give the affirmative answer to the Conjecture in DF21 |
| title | Dynamical degrees of affine-triangular automorphisms in dimension four |
| topic | Algebraic Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2509.14584 |