On the dynamical degree of surjective endomorphisms
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911543924359168 |
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| author | Karzhemanov, Ilya |
| author_facet | Karzhemanov, Ilya |
| contents | We establish a couple of dynamical properties of surjective rational maps $f: X \dashrightarrow X$ for smooth projective surfaces $X$. We also give a numerical characterization of regular $f$ in the case when $X$ is a del Pezzo surface. Some explicit constructions and calculations, related to the topological entropy of $f$, are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24173 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the dynamical degree of surjective endomorphisms Karzhemanov, Ilya Algebraic Geometry Dynamical Systems We establish a couple of dynamical properties of surjective rational maps $f: X \dashrightarrow X$ for smooth projective surfaces $X$. We also give a numerical characterization of regular $f$ in the case when $X$ is a del Pezzo surface. Some explicit constructions and calculations, related to the topological entropy of $f$, are provided. |
| title | On the dynamical degree of surjective endomorphisms |
| topic | Algebraic Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2603.24173 |