Incidence Estimates for Tubes in Complex Space
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866914225407918080 |
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| author | Tammen, Sarah Zhang, Lingxian |
| author_facet | Tammen, Sarah Zhang, Lingxian |
| contents | In this paper, we prove a complex version of the incidence estimate of Guth, Solomon and Wang for tubes obeying certain strong spacing conditions, and we use one of our new estimates to resolve a discretized variant of Falconer's distance set problem in $\mathbb{C}^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_05477 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Incidence Estimates for Tubes in Complex Space Tammen, Sarah Zhang, Lingxian Classical Analysis and ODEs 42B99 (Primary), 51A99 (Secondary) In this paper, we prove a complex version of the incidence estimate of Guth, Solomon and Wang for tubes obeying certain strong spacing conditions, and we use one of our new estimates to resolve a discretized variant of Falconer's distance set problem in $\mathbb{C}^2$. |
| title | Incidence Estimates for Tubes in Complex Space |
| topic | Classical Analysis and ODEs 42B99 (Primary), 51A99 (Secondary) |
| url | https://arxiv.org/abs/2210.05477 |