Classification of higher dimensional algebraic varieties
Material type: TextSeries: Publication details: Basel Boston Birkhäuser 2010Description: x, 208 p. illISBN: 9783034602891 (alk. paper); 3034602898 (alk. paper)Subject(s): Algebraic varieties | Algebraic varieties | Algebraische Varietät | Komplexer projektiver Raum | ModulraumDDC classification: 516.353 Summary: 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.Summary: The book is aimed at advanced graduate students and researchers in algebraic geometry --Item type | Current library | Collection | Call number | Status | Date due | Barcode |
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BK | Stack | Stack | 516.353 HAC/C (Browse shelf (Opens below)) | Available | 59482 |
Browsing Kannur University Central Library shelves, Shelving location: Stack, Collection: Stack Close shelf browser (Hides shelf browser)
516.352 KEN/G Guide to plane algebraic curves / | 516.352 KEN/G A guide to plane algebraic curves / | 516.352 LIN/A Algebraic curves in cryptography | 516.353 HAC/C Classification of higher dimensional algebraic varieties | 516.36 ARA/A Algebraic geometry over the complex numbers / | 516.36 BAR/E Elementary differential geometry | 516.36 CHE/L Lectures on differential geometry |
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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