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Maximum number of singular points on a projective hypersurface

✍ Scribed by A. B. Givental’

Publisher
Springer US
Year
1983
Tongue
English
Weight
289 KB
Volume
17
Category
Article
ISSN
0016-2663

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On circles containing the maximum number
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✍ J. Akiyama; Y. Ishigami; M. Urabe; J. Urrutia 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 133 KB

We define B(x, y) to be the disk in the plane which has the points x,y as its diametral end points. Let liB(n) [or/Tn(n)] be the largest number such that for every set [or every convex set]P of n points in R 2, there exist two points x,y ~ P for which B(x,y) contains liB(n) [or hB(n)] points of P. W