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On Segre's lemma of tangents

Author
Ball, S.; Csajbók, B.
Type of activity
Journal article
Journal
Electronic notes in discrete mathematics
Date of publication
2018-07-01
Volume
68
First page
11
Last page
16
DOI
https://doi.org/10.1016/j.endm.2018.06.003 Open in new window
Project funding
Discrete, geometric and random structures
Repository
http://hdl.handle.net/2117/121914 Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S1571065318300945 Open in new window
Abstract
Segre’s lemma of tangents dates back to the 1950’s when he used it in the proof of his “arc is a conic” theorem. Since then it has been used as a tool to prove results about various objects including internal nuclei, Kakeya sets, sets with few odd secants and further results on arcs. Here, we survey some of these results and report on how re-formulations of Segre’s lemma of tangents are leading to new results.
Citation
Ball, S., Csajbók, B. On Segre's lemma of tangents. "Electronic notes in discrete mathematics", 1 Juliol 2018, vol. 68, p. 11-16.
Keywords
Kakeya sets, lemma of tangents, sets with no tangents
Group of research
GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics

Participants