Adelic line bundles on quasi-projective varieties
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866911005444931584 |
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| author | Yuan, Xinyi Zhang, Shou-Wu |
| author_facet | Yuan, Xinyi Zhang, Shou-Wu |
| contents | In this book, we establish a theory of adelic line bundles over quasi-projective varieties over finitely generated fields. Besides definitions of adelic line bundles, we consider their intersection theory, volume theory, and height theory, and apply these to study heights of algebraic points of quasi-projective varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_13587 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Adelic line bundles on quasi-projective varieties Yuan, Xinyi Zhang, Shou-Wu Number Theory Algebraic Geometry 14G40, 11G50, 37P30 In this book, we establish a theory of adelic line bundles over quasi-projective varieties over finitely generated fields. Besides definitions of adelic line bundles, we consider their intersection theory, volume theory, and height theory, and apply these to study heights of algebraic points of quasi-projective varieties. |
| title | Adelic line bundles on quasi-projective varieties |
| topic | Number Theory Algebraic Geometry 14G40, 11G50, 37P30 |
| url | https://arxiv.org/abs/2105.13587 |