A Solution of the Erdős–Ulam Problem on Rational Distance Sets Assuming the Bombieri

A Solution of the Erdős–Ulam Problem on Rational Distance Sets Assuming the Bombieri–Lang Conjecture

Published:2018-05-04 Issue:2 Volume:60 Page:283-293
ISSN:0179-5376
Container-title:Discrete & Computational Geometry
language:en
Short-container-title:Discrete Comput Geom

Author:

Shaffaf Jafar^ORCID

Funder

Shahid Beheshti University

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Link

http://link.springer.com/article/10.1007/s00454-018-0003-3/fulltext.html

Reference15 articles.

1. Anning, N.H., Erdős, P.: Integral distances. Bull. Am. Math. Soc. 51(8), 598–600 (1945)

2. Bombieri, E., Gubler, W.: Heights in Diophantine Geometry. New Mathematical Monographs, vol. 4. Cambridge University Press, Cambridge (2006)

3. Brass, P., Moser, W., Pach, J.: Research Problems in Discrete Geometry. Springer, New York (2005)

4. Caporaso, L.: Distribution of rational points and Kodaira dimension of fiber products. In: Dijkgraaf, R.H., et al. (eds.) The Moduli Space of Curves. Progress in Mathematics, vol. 129, pp. 1–12. Birkhäuser, Boston (1995)

5. Caporaso, L., Harris, J., Mazur, B.: How many rational points can a curve have? In: Dijkgraaf, R.H., et al. (eds.) The Moduli Space of Curves. Progress in Mathematics, vol. 129, pp. 13–31. Birkhäuser, Boston (1995)

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