Slope-determinant method, complex cellular structures and hypersurface coverings of regular rational points
| Autor: | Chiu, Kenneth Chung Tak |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We use the determinant method of Bombieri-Pila and Heath-Brown and its Arakelov reformulation by Chen utilizing Bost's slope method to estimate the number of hypersurfaces required to cover the regular rational points with bounded Arakelov height on a projective variety. Using complex cellular structures introduced by Binyamini-Novikov, we replace the usual subpolynomial factor by a polylogarithmic factor in the estimation. Comment: 13 pages, comments welcome! |
| Databáze: | arXiv |
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