Counting joints in vector spaces over arbitrary fields
Combinatorics
2014-05-30 v2
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.
Cite
@article{arxiv.1403.6438,
title = {Counting joints in vector spaces over arbitrary fields},
author = {Anthony Carbery and Marina Iliopoulou},
journal= {arXiv preprint arXiv:1403.6438},
year = {2014}
}
Comments
Not intended for publication. References added and other minor edits in this version