Classification of Higher Dimensional Algebraic Varieties

Sándor Kovács

ISBN 10: 3034602898 / ISBN 13: 9783034602891

Published by Birkhäuser Basel, Birkhäuser, 2010

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783034602891

Bibliographic Details

• Title: Classification of Higher Dimensional Algebraic Varieties
• Publisher: Birkhäuser Basel, Birkhäuser
• Publication Date: 2010
• Language: English
• ISBN 10: 3034602898
• ISBN 13: 9783034602891
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 170H x 13D millimeters 240 millimeters width by 170 millimeters height by 13 millimeters depth
• Weight: 382 grams

About this title

Synopsis

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.

From the Back Cover

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.