AN INCIDENCE CONJECTURE OF BOURGAIN OVER FIELDS OF POSITIVE CHARACTERISTIC

In this note we generalize a recent theorem of Guth and Katz on incidences between points and lines in 3-space from characteristic 0 to characteristic $p$ , and we explain how some of the special features of algebraic geometry in characteristic $p$ manifest themselves in problems of incidence geomet...

Full description

Saved in:
Bibliographic Details
Published in:Forum of mathematics. Sigma 2016, Vol.4, Article e23
Main Authors: ELLENBERG, JORDAN S., HABLICSEK, MÁRTON
Format: Article
Language:English
Subjects:
14A25 (secondary)
52C10 (primary)
Discrete Mathematics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this note we generalize a recent theorem of Guth and Katz on incidences between points and lines in 3-space from characteristic 0 to characteristic $p$ , and we explain how some of the special features of algebraic geometry in characteristic $p$ manifest themselves in problems of incidence geometry.
ISSN:2050-5094
2050-5094
DOI:10.1017/fms.2016.19