Arithmetical algebraic geometry

9 titles from
Heights in Diophantine Geometry

This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.

The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups

The Large Sieve and its Applications

Arithmetic Geometry, Random Walks and Discrete Groups


Explains new applications of the 'large sieve', an important tool of analytic number theory,...

Lectures on Arakelov Geometry

An account for graduate students of this new technique in diophantine geometry; includes account of...

Applied Algebraic Dynamics
De Gruyter (2009)

The aim of the Expositions is to present new and important developments in pure and applied...

Logarithmic Forms and Diophantine Geometry

An account of effective methods in transcendental number theory and Diophantine geometry by eminent...

Galois Representations in Arithmetic Algebraic Geometry

Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic...

On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173)

This book studies the intersection cohomology of the Shimura varieties associated to unitary groups...

The Gross-Zagier Formula on Shimura Curves

This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields...

Arithmetic Compactifications of PEL-Type Shimura Varieties

By studying the degeneration of abelian varieties with PEL structures, this book explains the...