On Endomorphisms of Projective Algebraic Varieties
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911283234734080 |
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| author | al-Asaad, Sami |
| author_facet | al-Asaad, Sami |
| contents | We study the algebraic dynamics of endomorphisms of projective varieties. First, we characterize their iterated images, i.e. the intersection of the images of their iterates. Next, we explore the Stein factorizations of the iterates, proving some stability phenomena they exhibit. Finally, we study endomorphisms whose iterates lie in a finite union of connected components of the endomorphism scheme, thereby completing a result of Brion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18453 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Endomorphisms of Projective Algebraic Varieties al-Asaad, Sami Algebraic Geometry We study the algebraic dynamics of endomorphisms of projective varieties. First, we characterize their iterated images, i.e. the intersection of the images of their iterates. Next, we explore the Stein factorizations of the iterates, proving some stability phenomena they exhibit. Finally, we study endomorphisms whose iterates lie in a finite union of connected components of the endomorphism scheme, thereby completing a result of Brion. |
| title | On Endomorphisms of Projective Algebraic Varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.18453 |