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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.03408 |
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| _version_ | 1866913637817384960 |
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| author | Goswami, Souvik Gupta, Rahul |
| author_facet | Goswami, Souvik Gupta, Rahul |
| contents | We add analytic components to algebraic cycles with modulus and define an arithmetic Chow group with modulus that resembles the classical arithmetic Chow groups by Gillet and Soulé. The analytic component is dictated by imposing a vanishing condition on the cohomology class of a cycle with modulus. We prove several natural properties of this group as a consequence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03408 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arithmetic Cycles with Modulus Goswami, Souvik Gupta, Rahul Algebraic Geometry 14G40, 14C25, 14C22 We add analytic components to algebraic cycles with modulus and define an arithmetic Chow group with modulus that resembles the classical arithmetic Chow groups by Gillet and Soulé. The analytic component is dictated by imposing a vanishing condition on the cohomology class of a cycle with modulus. We prove several natural properties of this group as a consequence. |
| title | Arithmetic Cycles with Modulus |
| topic | Algebraic Geometry 14G40, 14C25, 14C22 |
| url | https://arxiv.org/abs/2501.03408 |