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Title:
Serre's Conjectures on the Number of Rational Points of Bounded Height
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Abstract:
JOINT IAS/PU NUMBER THEORY SEMINAR
We give a survey of recent results on conjectures of Heath-Brown and Serre on the asymptotic density of rational points of bounded height. The main tool in the proofs is a new global determinant method inspired by the local real and p-adic determinant methods of Bombieri-Pila and Heath-Brown.
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