Distinct Distance Estimates and Low Degree Polynomial Partitioning

We give a shorter proof of a slightly weaker version of a theorem from Guth and Katz (Ann Math 181:155–190, 2015): we prove that if L is a set of L lines in R[superscript 3] with at most L[superscript 1/2] lines in any low degree algebraic surface, then the number of r-rich points of is L is ≲ L[...

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Bibliographic Details
Main Author: Guth, Lawrence
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2016
Online Access:http://hdl.handle.net/1721.1/105456
https://orcid.org/0000-0002-1302-8657