The arithmetic volume of hypersurfaces in toric varieties and Mahler measures
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913430890348544 |
|---|---|
| author | Hajli, Mounir |
| author_facet | Hajli, Mounir |
| contents | In this paper we determine the canonical arithmetic volume of hypersurfaces in smooth projective toric varieties. As a consequence, we prove a generalized Hodge index theorem on hypersurfaces in smooth projective toric varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_14232 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The arithmetic volume of hypersurfaces in toric varieties and Mahler measures Hajli, Mounir Algebraic Geometry Number Theory In this paper we determine the canonical arithmetic volume of hypersurfaces in smooth projective toric varieties. As a consequence, we prove a generalized Hodge index theorem on hypersurfaces in smooth projective toric varieties. |
| title | The arithmetic volume of hypersurfaces in toric varieties and Mahler measures |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2206.14232 |