Gerard van der Geer

Introduction to Coding Theory and Algebraic Geometry

These notes are based on lectures given in the semmar on "Coding Theory and Algebraic Geometry" held at Schloss Mickeln, Diisseldorf, November 16-21, ...

Hilbert Modular Surfaces

Over the last 15 years important results have been achieved in the field of Hilbert Modular Varieties. Though the main emphasis of this book is on the...

The 1-2-3 of Modular Forms

Lectures at a Summer School in Nordfjordeid, Norway

This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Cente...

Lectures on Hilbert Modular Surfaces

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The Moduli Space of Curves

The moduli space Mg of curves of fixed genus g - that is, the algebraic variety that parametrizes all curves of genus g - is one of the most intriguin...

Moduli of Abelian Varieties

Abelian varieties and their moduli are a topic of increasing importance in today`s mathematics, applications ranging from algebraic geometry and numbe...

Classification of Algebraic Varieties

Fascinating and surprising developments are taking place in the classification of algebraic varieties. The work of Hacon and McKernan and many others ...

Number Fields and Function Fields – Two Parallel Worlds

Invited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fields Topics range from Arakelov...

Moduli of Abelian Varieties

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Arithmetic Algebraic Geometry

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Rationality of Varieties

This book provides an overview of the latest progress on rationality questions in algebraic geometry. It discusses new developments such as universal ...