Sciweavers

Share
DCG
2016

Polynomial Partitioning on Varieties of Codimension Two and Point-Hypersurface Incidences in Four Dimensions

3 years 8 months ago
Polynomial Partitioning on Varieties of Codimension Two and Point-Hypersurface Incidences in Four Dimensions
We present a polynomial partitioning theorem for finite sets of points in the real locus of a complex algebraic variety of codimension at most two. This result generalizes the polynomial partitioning theorem on the Euclidean space of Guth and Katz, and its extension to hypersurfaces by Zahl and by Kaplan, Matouˇsek, Sharir and Safernov´a. We also present a bound for the number of incidences between points and hypersurfaces in the four-dimensional Euclidean space. It is an application of our partitioning theorem together with the refined bounds for the number of connected components of a semi-algebraic set by Barone and Basu. Contents
Saugata Basu, Martín Sombra
Added 01 Apr 2016
Updated 01 Apr 2016
Type Journal
Year 2016
Where DCG
Authors Saugata Basu, Martín Sombra
Comments (0)
books