Slope boundedness and Equidistribution theorem
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917621240168448 |
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| author | Luo, Wenbin |
| author_facet | Luo, Wenbin |
| contents | In this article, we prove the boundedness of minimal slopes of adelic line bundles over function fields of characteristic 0. This can be applied to prove the equidistribution of generic and small points with respect to a big and semipositive adelic line bundle. Our methods can be applied to the finite places of number fields as well. We also show the continuity of $χ$-volumes over function fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_08734 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Slope boundedness and Equidistribution theorem Luo, Wenbin Number Theory Algebraic Geometry Dynamical Systems In this article, we prove the boundedness of minimal slopes of adelic line bundles over function fields of characteristic 0. This can be applied to prove the equidistribution of generic and small points with respect to a big and semipositive adelic line bundle. Our methods can be applied to the finite places of number fields as well. We also show the continuity of $χ$-volumes over function fields. |
| title | Slope boundedness and Equidistribution theorem |
| topic | Number Theory Algebraic Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2211.08734 |