Incidence Estimates for Well Spaced Tubes
Abstract We prove analogues of the Szemerédi–Trotter theorem and other incidence theorems using $$\delta $$δ-tubes in place of straight lines, assuming that the $$\delta $$δ-tubes are well spaced in a strong sense.
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer International Publishing
2021
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| Online Access: | https://hdl.handle.net/1721.1/131543 |
| _version_ | 1826217500889579520 |
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| author | Guth, Larry Solomon, Noam Wang, Hong |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Guth, Larry Solomon, Noam Wang, Hong |
| author_sort | Guth, Larry |
| collection | MIT |
| description | Abstract
We prove analogues of the Szemerédi–Trotter theorem and other incidence theorems using $$\delta $$δ-tubes in place of straight lines, assuming that the $$\delta $$δ-tubes are well spaced in a strong sense. |
| first_indexed | 2024-09-23T17:04:43Z |
| format | Article |
| id | mit-1721.1/131543 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T17:04:43Z |
| publishDate | 2021 |
| publisher | Springer International Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1315432023-03-24T17:30:17Z Incidence Estimates for Well Spaced Tubes Guth, Larry Solomon, Noam Wang, Hong Massachusetts Institute of Technology. Department of Mathematics Abstract We prove analogues of the Szemerédi–Trotter theorem and other incidence theorems using $$\delta $$δ-tubes in place of straight lines, assuming that the $$\delta $$δ-tubes are well spaced in a strong sense. 2021-09-20T17:20:19Z 2021-09-20T17:20:19Z 2019-11-11 2020-09-24T21:12:19Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131543 en https://doi.org/10.1007/s00039-019-00519-y Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ Springer Nature Switzerland AG application/pdf Springer International Publishing Springer International Publishing |
| spellingShingle | Guth, Larry Solomon, Noam Wang, Hong Incidence Estimates for Well Spaced Tubes |
| title | Incidence Estimates for Well Spaced Tubes |
| title_full | Incidence Estimates for Well Spaced Tubes |
| title_fullStr | Incidence Estimates for Well Spaced Tubes |
| title_full_unstemmed | Incidence Estimates for Well Spaced Tubes |
| title_short | Incidence Estimates for Well Spaced Tubes |
| title_sort | incidence estimates for well spaced tubes |
| url | https://hdl.handle.net/1721.1/131543 |
| work_keys_str_mv | AT guthlarry incidenceestimatesforwellspacedtubes AT solomonnoam incidenceestimatesforwellspacedtubes AT wanghong incidenceestimatesforwellspacedtubes |