Volume 41 2010

Classification of Higher Dimensional Algebraic Varieties

Authors:

ISBN: 978-3-0346-0289-1 (Print) 978-3-0346-0290-7 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-x

  2. Basics

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-16

      Introduction

    3. No Access

      Book Chapter

      Pages 17-25

      Preliminaries

    4. No Access

      Book Chapter

      Pages 27-45

      Singularities

  3. Recent advances in the minimal model program

    1. Front Matter

      Pages 47-47

    2. No Access

      Book Chapter

      Pages 49-49

      Introduction

    3. No Access

      Book Chapter

      Pages 51-66

      The main result

    4. No Access

      Book Chapter

      Pages 67-78

      Multiplier ideal sheaves

    5. No Access

      Book Chapter

      Pages 79-81

      Finite generation of the restricted algebra

    6. No Access

      Book Chapter

      Pages 83-87

      Log terminal models

    7. No Access

      Book Chapter

      Pages 88-97

      Non-vanishing

    8. No Access

      Book Chapter

      Pages 99-102

      Finiteness of log terminal models

  4. Compact moduli spaces of canonically polarized varieties

    1. Front Matter

      Pages 103-103

    2. No Access

      Book Chapter

      Pages 105-110

      Moduli problems

    3. No Access

      Book Chapter

      Pages 111-115

      Hilbert schemes

    4. No Access

      Book Chapter

      Pages 117-131

      The construction of the moduli space

    5. No Access

      Book Chapter

      Pages 133-140

      Families and moduli functors

    6. No Access

      Book Chapter

      Pages 141-147

      Singularities of stable varieties

    7. No Access

      Book Chapter

      Pages 149-169

      Subvarieties of moduli spaces

  5. Back Matter

    Pages 171-201