Counting joints in vector spaces over arbitrary fields

Anthony Carbery; Marina Iliopoulou

Counting joints in vector spaces over arbitrary fields

Anthony Carbery
, Marina Iliopoulou

School of Mathematics

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 language	English
Publisher	ArXiv
Number of pages	10
Publication status	Published - 25 Mar 2014

Keywords / Materials (for Non-textual outputs)

math.CO
52C99, 5A99

Access to Document

http://arxiv.org/pdf/1403.6438v2

Cite this

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AB - 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.

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BT - Counting joints in vector spaces over arbitrary fields

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ER -

Counting joints in vector spaces over arbitrary fields

Abstract

Keywords / Materials (for Non-textual outputs)

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Cite this