On the joints problem with multiplicities
Combinatorics
2014-08-26 v1
Abstract
In this short note we apply a recent theorem of Koll\'ar about the arithmetic genus of curves to give a bound on the number of joints weighted by the multiplicities. This gives an affirmative answer to a conjecture of Carbery in the generic case.
Cite
@article{arxiv.1408.5791,
title = {On the joints problem with multiplicities},
author = {Márton Hablicsek},
journal= {arXiv preprint arXiv:1408.5791},
year = {2014}
}