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Orthogonal projections in the plane over prime order fields
- Publication Year :
- 2023
-
Abstract
- We give an upper bound on the number of exceptional orthogonal projections of a small set of points in a plane over a prime order field, which makes progress toward a conjecture of Chen (2018). This theorem relies on a new upper bound on the number of incidences between an arbitrary set of lines and a set of points contained in a reasonably small pencil of lines. We also prove a new upper bound on the number of incidences between points and lines when both are Cartesian products in an appropriate sense.
- Subjects :
- Mathematics - Combinatorics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2311.05148
- Document Type :
- Working Paper