Families of Varieties of General Type

This book gives the first complete treatment of the moduli theory of varieties of dimension larger than one, aimed at researchers and graduate students in algebraic geometry and related areas. The first chapter provides a historical introduction to the subject, while later chapters provide all necessary background material.

List of contents

Introduction; Notation; 1. History of moduli problems; 2. One-parameter families; 3. Families of stable varieties; 4. Stable pairs over reduced base schemes; 5. Numerical flatness and stability criteria; 6. Moduli problems with flat divisorial part; 7. Cayley flatness; 8. Moduli of stable pairs; 9. Hulls and husks; 10. Ancillary results; 11. Minimal models and their singularities; References; Index.

About the author

János Kollár is Professor of Mathematics at Princeton University. He has received the Cole Prize (2006), the Nemmers Prize (2016), and the Shaw Prize (2017). He is the author of more than 200 articles and ten books, mostly on algebraic geometry.

Product details

• Authors: Janos (Princeton University Kollar, János Kollár
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.04.2023
• EAN: 9781009346108
• ISBN: 978-1-0-0934610-8
• No. of pages: 466
• Series: Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematic
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Number Theory, Algebraic Geometry, Number Theory