The joints problem in R^n

Details The joints problem in R^n The joints problem in R^n

2009-06-02

arxiv.org/abs/0906.0555v3

Mathematics

Combinatorics

6 pages, removed erroneous argument that appeared in version 2 about incidences

Scientific paper

We show that given a collection of A lines in \R^n, n\geq 2, the maximum
number of their joints (points incident to at least n lines whose directions
form a linearly independent set) is O(A^{n/(n-1)}). An analogous result for
smooth algebraic curves is also proven.

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