A note on varieties of non-negative Kodaira dimension with polarized self maps
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909999809167360 |
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| author | Rai, Ankit |
| author_facet | Rai, Ankit |
| contents | In this note we prove that a smooth projective variety (defined over a field $k$) of non-negative Kodaira dimension that has a $k$-rational point and a polarized self map must be a finite free quotient of an abelian variety. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17242 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on varieties of non-negative Kodaira dimension with polarized self maps Rai, Ankit Algebraic Geometry 14M99, 14K99 In this note we prove that a smooth projective variety (defined over a field $k$) of non-negative Kodaira dimension that has a $k$-rational point and a polarized self map must be a finite free quotient of an abelian variety. |
| title | A note on varieties of non-negative Kodaira dimension with polarized self maps |
| topic | Algebraic Geometry 14M99, 14K99 |
| url | https://arxiv.org/abs/2601.17242 |