Ax-Schanuel for variations of mixed Hodge structures
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866910354412404736 |
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| author | Chiu, Kenneth Chung Tak |
| author_facet | Chiu, Kenneth Chung Tak |
| contents | We give properties of the real-split retraction of the mixed weak Mumford-Tate domain and prove the Ax-Schanuel property of period mappings arising from variations of mixed Hodge structures. An ingredient in the proof is the definability of the mixed period mapping obtained by Bakker-Brunebarbe-Klingler-Tsimerman. In comparison with preceding results, in the point counting step, we count rational points on definable quotients instead. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_10968 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Ax-Schanuel for variations of mixed Hodge structures Chiu, Kenneth Chung Tak Algebraic Geometry Number Theory We give properties of the real-split retraction of the mixed weak Mumford-Tate domain and prove the Ax-Schanuel property of period mappings arising from variations of mixed Hodge structures. An ingredient in the proof is the definability of the mixed period mapping obtained by Bakker-Brunebarbe-Klingler-Tsimerman. In comparison with preceding results, in the point counting step, we count rational points on definable quotients instead. |
| title | Ax-Schanuel for variations of mixed Hodge structures |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2101.10968 |