Sylvester-Gallai type theorems for quadratic polynomials

The [Sylvester-Gallai theorem](https://en.wikipedia.org/wiki/Sylvester%E2%80%93Gallai_theorem) asserts that given $n$ points in a plane that are not contained in a line, then there must be some line that contains exactly two of the points. This result is one of the basic results of combinatorial geo...

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Bibliographic Details
Main Author: Amir Shpilka
Format: Article
Language:English
Published: Diamond Open Access Journals
Series:Discrete Analysis
Online Access:http://discrete-analysis.scholasticahq.com/article/14492-sylvester-gallai-type-theorems-for-quadratic-polynomials.pdf