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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.17167 |
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| _version_ | 1866917058417000448 |
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| author | Gil, J. I. Burgos Goswami, S. Pearlstein, G. |
| author_facet | Gil, J. I. Burgos Goswami, S. Pearlstein, G. |
| contents | We attach a mixed Hodge structure and associate two versions of heights to a pair of Bloch higher cycles. Both these heights generalize the biextension height attached to a pair of classical algebraic cycles homologous to zero. We also prove several salient properties of these heights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17167 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Height Pairing on Higher Cycles and Mixed Hodge Structures II Gil, J. I. Burgos Goswami, S. Pearlstein, G. Algebraic Geometry 14C25, 14C30, 14F40 We attach a mixed Hodge structure and associate two versions of heights to a pair of Bloch higher cycles. Both these heights generalize the biextension height attached to a pair of classical algebraic cycles homologous to zero. We also prove several salient properties of these heights. |
| title | Height Pairing on Higher Cycles and Mixed Hodge Structures II |
| topic | Algebraic Geometry 14C25, 14C30, 14F40 |
| url | https://arxiv.org/abs/2410.17167 |