An Improved Point-Line Incidence Bound Over Arbitrary Fields
| Autor: | Stevens, Sophie, de Zeeuw, Frank |
|---|---|
| Rok vydání: | 2016 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1112/blms.12077 |
| Popis: | We prove a new upper bound for the number of incidences between points and lines in a plane over an arbitrary field $\mathbb{F}$, a problem first considered by Bourgain, Katz and Tao. Specifically, we show that $m$ points and $n$ lines in $\mathbb{F}^2$, with $m^{7/8} |
| Databáze: | arXiv |
| Externí odkaz: |
|