Janos Kollar (New Jersey Princeton University)

Families of Varieties of General Type

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Cambridge Tracts in Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 466
• Erscheinungstermin: 20. April 2023
• Englisch
• Abmessung: 229mm x 152mm x 32mm
• Gewicht: 878g
• ISBN-13: 9781009346108
• ISBN-10: 1009346105
• Artikelnr.: 66997120

Autorenporträt

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.

Inhaltsangabe

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.