Complex Algebraic Threefolds
$89.99 USD
Part of Cambridge Studies in Advanced Mathematics
- Author: Masayuki Kawakita, Kyoto University, Japan
- Date Published: October 2023
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9781108946032
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The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model program, this text is sure to become an essential reference in the field of birational geometry. Threefolds remain the interface between low and high-dimensional settings and a good understanding of them is necessary in this actively evolving area. Intended for advanced graduate students as well as researchers working in birational geometry, the book is as self-contained as possible. Detailed proofs are given throughout and more than 100 examples help to deepen understanding of birational geometry. The first part of the book deals with threefold singularities, divisorial contractions and flips. After a thorough explanation of the Sarkisov program, the second part is devoted to the analysis of outputs, specifically minimal models and Mori fibre spaces. The latter are divided into conical fibrations, del Pezzo fibrations and Fano threefolds according to the relative dimension.
Read more- The first organised treatment of the birational geometry of threefolds
- Contains over 100 examples
- Provides a reference for the classification results on threefolds, including many recent results
Reviews & endorsements
'This book is an excellent introduction to the classification of complex algebraic threefolds. It includes a thorough modern treatment and a glimpse into many of the recent higher dimensional breakthroughs.' Christopher Hacon, University of Utah
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×Product details
- Date Published: October 2023
- format: Adobe eBook Reader
- isbn: 9781108946032
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. The minimal model program
2. Singularities
3. Divisorial contractions to points
4. Divisorial contractions to curves
5. Flips
6. The Sarkisov category
7. Conical fibrations
8. Del Pezzo fibrations
9. Fano threefolds
10. Minimal models
References
Notation
Index.
Related Books
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