Counting special points: Logic, diophantine geometry, and transcendence theory

Scanlon, Thomas

doi:10.1090/S0273-0979-2011-01354-4

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ISSN 1088-9485(online) ISSN 0273-0979(print)

Counting special points: Logic, diophantine geometry, and transcendence theory

Author: Thomas Scanlon
Journal: Bull. Amer. Math. Soc. 49 (2012), 51-71
MSC (2010): Primary 11G15, 03C64
Posted: October 24, 2011
MathSciNet review: 2869007
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Abstract: We expose a theorem of Pila and Wilkie on counting rational points in sets definable in o-minimal structures and some applications of this theorem to problems in diophantine geometry due to Masser, Peterzil, Pila, Starchenko, and Zannier.

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