Properties of the Beilinson Height Pairing
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866916895339315200 |
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| author | Wisson, Thomas |
| author_facet | Wisson, Thomas |
| contents | First constructed by Beilinson for curves defined over an algebraically closed field; Rössler and Szamuely generalized Beilinson's height pairing to the higher dimensional setting. In this paper we study this pairing and relate it to the intersection product by constructing a new height pairing. We also prove that it satisfies a projection formula matching the one satisfied by the intersection product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08041 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Properties of the Beilinson Height Pairing Wisson, Thomas Algebraic Geometry Number Theory First constructed by Beilinson for curves defined over an algebraically closed field; Rössler and Szamuely generalized Beilinson's height pairing to the higher dimensional setting. In this paper we study this pairing and relate it to the intersection product by constructing a new height pairing. We also prove that it satisfies a projection formula matching the one satisfied by the intersection product. |
| title | Properties of the Beilinson Height Pairing |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2508.08041 |