Dynamique analytique sur $\mathbf{Z}$. I : Mesures d'équilibre sur une droite projective relative
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908484534009856 |
|---|---|
| author | Poineau, Jérôme |
| author_facet | Poineau, Jérôme |
| contents | Consider a Berkovich space over a good Banach ring and the relative projective line over it. (It is a space whose fibers are projective lines over different complete valued fields.) For each polarized endomorphism of this line, we prove that the family of equilibrium measures associated to the restrictions of the endomorphism to the fibers is continuous. The result holds, in particular, when the Banach ring is a complete valued field, a hybrid field, a complete discrete valuation ring, or the ring of integers of a number field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_08480 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Dynamique analytique sur $\mathbf{Z}$. I : Mesures d'équilibre sur une droite projective relative Poineau, Jérôme Dynamical Systems Number Theory 37P50, 37P15, 37F44, 14G22 Consider a Berkovich space over a good Banach ring and the relative projective line over it. (It is a space whose fibers are projective lines over different complete valued fields.) For each polarized endomorphism of this line, we prove that the family of equilibrium measures associated to the restrictions of the endomorphism to the fibers is continuous. The result holds, in particular, when the Banach ring is a complete valued field, a hybrid field, a complete discrete valuation ring, or the ring of integers of a number field. |
| title | Dynamique analytique sur $\mathbf{Z}$. I : Mesures d'équilibre sur une droite projective relative |
| topic | Dynamical Systems Number Theory 37P50, 37P15, 37F44, 14G22 |
| url | https://arxiv.org/abs/2201.08480 |