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Complex Algebraic Threefolds: Cambridge Studies in Advanced Mathematics, cartea 209

Autor Masayuki Kawakita
en Limba Engleză Hardback – 30 oct 2023
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-dimensional 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. 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.
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Specificații

ISBN-13: 9781108844239
ISBN-10: 1108844235
Pagini: 502
Dimensiuni: 237 x 157 x 34 mm
Greutate: 0.91 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Studies in Advanced Mathematics

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

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Descriere

A detailed treatment of the explicit aspects of the birational geometry of algebraic threefolds arising from the minimal model program.