Cyclotomic preperiodic points for morphisms in affine spaces and preperiodic points with bounded house and height
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866908672125304832 |
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| author | Mello, Jorge |
| author_facet | Mello, Jorge |
| contents | Under special conditions, we prove that the set of preperiodic points for semigroups of self-morphisms of affine spaces falling on cyclotomic closures is not dense. generalising results of Ostafe and Young (2020). We also extend previous results about boundness of house and height on certain preperiodicity sets of higher dimension in semigroup dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_00947 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Cyclotomic preperiodic points for morphisms in affine spaces and preperiodic points with bounded house and height Mello, Jorge Number Theory Under special conditions, we prove that the set of preperiodic points for semigroups of self-morphisms of affine spaces falling on cyclotomic closures is not dense. generalising results of Ostafe and Young (2020). We also extend previous results about boundness of house and height on certain preperiodicity sets of higher dimension in semigroup dynamics. |
| title | Cyclotomic preperiodic points for morphisms in affine spaces and preperiodic points with bounded house and height |
| topic | Number Theory |
| url | https://arxiv.org/abs/2009.00947 |