Overview

This book grew out of the Oberwolfach-SeminarHigherDimensionalAlgebraicGeo- tryorganizedbythetwoauthorsinOctober2008. Theaimoftheseminarwas tointroduce advanced PhD students and young researchers to recent advances and research topics in higher dimensional algebraic geometry. The main emphasis was on the minimal model program and on the theory of moduli spaces. The authors would like to thank the Mathematishes Forshunginstitut Oberwolfach for its hospitality and for making the above mentioned seminar possible, the participants to the seminar for their useful comments, and Alex Kuronya, Max Lieblich, and Karl Schwede for valuable suggestions and conversations. The ?rst named author was partially supported by the National Science Foundation under grant number DMS-0757897 and would like to thank Aleksandra, Stefan, Ana, Sasha, Kristina and Daniela Jovanovic-Haconfor their love and continuos support. The second named author was partially supported by the National Science Foun- tion under grant numbers DMS-0554697 and DMS-0856185, and the Craig McKibben and Sarah Merner Endowed Professorship in Mathematics at the University of Wa- ington. He would also like to thank Timea Tihanyi for her enduring love and support throughout and beyond this project and his other co-authors for their patience and und- standing. Contents I Basics 1 1INTRODUCTION 3 1. A. CLASSIFICATION 3 2PRELIMINARIES 17 2. A. NOTATION 17 2. B. DIVISORS 18 2. C. REFLEXIVE SHEAVES 20 2. D. CYCLIC COVERS 21 2. E. R-DIVISORS IN THE RELATIVE SETTING 22 2. F. FAMILIES AND BASE CHANGE 24 2. G. PARAMETER SPACES AND DEFORMATIONS OF FAMILIES 25 3SINGULARITIES 27 3. A.

Full Product Details

Author:   Christopher D. Hacon ,  Sándor Kovács
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2010 ed.
Volume:   41
Dimensions:   Width: 17.00cm , Height: 1.10cm , Length: 24.40cm
Weight:   0.382kg
ISBN:  

9783034602891

ISBN 10:   3034602898
Pages:   220
Publication Date:   27 May 2010
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Reviews

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)

"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)"

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