An improved point-line incidence bound over arbitrary finite fields via the VC-dimension theory

Alex Iosevich,Thang Pham,Steven Senger,Michael Tait

arXiv (Cornell University)（2023）

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摘要

The main purpose of this paper is to prove that the point-line incidence bound due to Vinh (2011) over arbitrary finite fields can be improved in certain ranges by using tools from the VC-dimension theory. As consequences, a number of applications will be discussed in detail.

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关键词

arbitrary finite fields,point-line,vc-dimension

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