On representing sylvester-gallai designs
- First Online:
- 52 Downloads
A misstated conjecture in  leads to an interesting “(1, 3) representation” of the 7-point projective plane inR4 where points are represented by lines and planes by 3-spaces. The corrected form of the original conjecture will be negated if there is a (1, 3) representation of the 13-point projective plane inR4 but that matter is not settled.
Unable to display preview. Download preview PDF.
- 1.Hirzebruch, F., Arrangements of Lines and Algebraic Surfaces, inArithmetic and Geometry (Papers dedicated to I. R. Shafarevich), Vol. 2, pp. 113–140, Birkhäuser, Basel, 1983.Google Scholar
- 2.Joussen, J., Eine Bemerkung zu einem Satz von Sylvester, inResults in Mathematics, Vol. 7, pp. 190–191, Birkhäuser, Basel, 1984.Google Scholar
- 5.Serre, J.-P., Problem 5359,Amer. Math. Monthly,73 (1966), 89.Google Scholar