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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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Previews available in: English
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Classification of higher dimensional algebraic varieties
2010, Birkhäuser
in English
3034602898 9783034602891
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Includes bibliographical references (p. [185]-202) and index.
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- Created June 29, 2019
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| June 5, 2025 | Edited by MARC Bot | import existing book |
| January 3, 2023 | Edited by MARC Bot | import existing book |
| September 10, 2021 | Edited by ImportBot | import existing book |
| September 25, 2020 | Edited by MARC Bot | import existing book |
| June 29, 2019 | Created by MARC Bot | Imported from Internet Archive item record |

