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. Series: Oberwolfach Seminars. Num Pages: 220 pages, biography. BIC Classification: PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 239 x 169 x 15. Weight in Grams: 420. . 2010. 2010th Edition. Paperback. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Classification of Higher Dimensional Algebraic Varieties
Publisher: Birkhauser Verlag AG
Publication Date: 2010
Language: English
ISBN 10: 3034602898
ISBN 13: 9783034602891
Binding: Soft cover
Condition: New

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This book focuses on recent advances in the classification of complex projective varieties. It is divided into two parts. The first part gives a detailed account of recent results in the minimal model program. In particular, it contains a complete proof of the theorems on the existence of flips, on the existence of minimal models for varieties of log general type and of the finite generation of the canonical ring. The second part is an introduction to the theory of moduli spaces. It includes topics such as representing and moduli functors, Hilbert schemes, the boundedness, local closedness and separatedness of moduli spaces and the boundedness for varieties of general type.

The book is aimed at advanced graduate students and researchers in algebraic geometry.

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