Complex Algebraic Threefolds

This text is a comprehensive guide to the explicit birational geometry of complex algebraic threefolds, covering threefold singularities, divisorial contractions, flips, the Sarkisov program, and outputs such as minimal models and Mori fiber spaces. It is intended for advanced graduate students and researchers in the field.

Format: Hardback
Length: 502 pages
Publication date: 19 October 2023
Publisher: Cambridge University Press

This groundbreaking book is a comprehensive exploration of the explicit birational geometry of complex algebraic threefolds, stemming from the minimal model program. It stands as a pivotal resource in the field of birational geometry, destined to become an indispensable reference for advanced graduate students and researchers alike. Threefolds serve as a crucial bridge between low and high-dimensional realms, and a deep comprehension of them is vital in this rapidly evolving domain. Crafted with an audience of advanced graduate students and researchers in mind, this book is designed to be self-contained, providing detailed proofs and over 100 examples to enhance understanding of birational geometry.

The first part of the book delves into the study of threefold singularities, divisorial contractions, and flips, offering a thorough explanation of the Sarkisov program. The second part focuses on analyzing outputs, specifically minimal models and Mori fiber spaces. These spaces are categorized into conical fibrations, del Pezzo fibrations, and Fano threefolds, based on their relative dimension.

By presenting a comprehensive and detailed account of the explicit birational geometry of complex algebraic threefolds, this book fills a significant gap in the literature. It serves as a valuable tool for scholars and researchers seeking to advance their knowledge in this field, providing a solid foundation for future advancements and discoveries.

Weight: 852g
Dimension: 157 x 237 x 34 (mm)
ISBN-13: 9781108844239