Singularities of the Minimal Model Program
eBook - PDF

Singularities of the Minimal Model Program

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Singularities of the Minimal Model Program

About this book

This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.

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Yes, you can access Singularities of the Minimal Model Program by János Kollár,Sándor Kovács in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Contents
  2. Preface
  3. Introduction
  4. 1 Preliminaries
  5. 2 Canonical and log canonical singularities
  6. 3 Examples
  7. 4 Adjunction and residues
  8. 5 Semi-log canonical pairs
  9. 6 Du Bois property
  10. 7 Log centers and depth
  11. 8 Survey of further results and applications
  12. 9 Finite equivalence relations
  13. 10 Ancillary results
  14. References
  15. Index