Counting joints in vector spaces over arbitrary fields

Anthony Carbery, Marina Iliopoulou

Research output: Working paper

Abstract

We give a proof of the "folklore" theorem that the Kaplan--Sharir--Shustin/Quilodr\'an result on counting joints associated to a family of lines holds in vector spaces over arbitrary fields, not just the reals. We also discuss a distributional estimate on the multiplicities of the joints in the case that the family of lines is sufficiently generic.
Original languageEnglish
PublisherArXiv
Number of pages10
Publication statusPublished - 25 Mar 2014

Keywords

  • math.CO
  • 52C99, 5A99

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