This book examines the range of available tools from analytic number theory that can be applied to study the density of rational points on projective varieties.
Integral Points on Algebraic Varieties An Introduction to Diophantine Geometry
Arithmetic of Higher-Dimensional Algebraic Varieties
Diophantine Approximation and Abelian Varieties Introductory Lectures
Néron Models and Base Change
Rational Points on Algebraic Varieties Zweite, aktualisierte und erweiterte Auflage
Probabilistic Diophantine Approximation Randomness in Lattice Point Counting
Non-vanishing of L-Functions and Applications
Birational Geometry, Rational Curves, and Arithmetic
Field Arithmetic
Higher Dimensional Varieties and Rational Points