
Classification of Higher Dimensional Algebraic Varieties: 41 2010th Edition
Author(s): Christopher D. Hacon (Author), Sándor Kovács (Author)
- Publisher: Birkhäuser
- Publication Date: 27 May 2010
- Edition: 2010th
- Language: English
- Print length: 220 pages
- ISBN-10: 3034602898
- ISBN-13: 9783034602891
Book Description
Higher Dimensional Algebraic Geometry presents recent advances in the classification of complex projective varieties. Recent results in the minimal model program are discussed, and an introduction to the theory of moduli spaces is presented.
Editorial Reviews
Review
From the reviews:
“The present text presents the proofs of many results surrounding the minimal model program (MMP) for higher-dimensional varieties. … This text treats the subject in the great generality which is required for getting the most recent results. Hence, it is laden with terminology, all necessary for the modern researcher. … As such, the text will be invaluable for those currently living off of survey articles trying to grasp recent advances in higher-dimensional geometry.” (Michael A. van Opstall, Mathematical Reviews, Issue 2011 f)
“The authors give a detailed account of these new results and the theory of compact moduli spaces of canonically polarised varieties. … the book contains a considerable number of exercises as well as a chapter of hints to solve them. … the authors have made quite an effort to write a text that is both an accessible introduction and a useful reference. … I can only recommend it to researchers and advanced graduate students interested in this highly active field of mathematics.” (Andreas Höring, Zentralblatt MATH, Vol. 1204, 2011)
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