Points of Bounded Height on Algebraic Varieties

Abstract

Introduction 1 1. Heights on the projective space 3 1.1. Basic height function 3 1.2. Height function on the projective space 5 1.3. Behavior under maps 7 2. Heights on varieties 9 2.1. Divisors 9 2.2. Heights 13 3. Conjectures 19 3.1. Zeta functions and counting 19 3.2. Height zeta function 20 3.3. Results and methods 22 3.4. Examples 24 4… (More)

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Cite this paper

@inproceedings{TaklooBighash2008PointsOB, title={Points of Bounded Height on Algebraic Varieties}, author={Ramin Takloo-Bighash}, year={2008} }