Classification of Higher Dimensional Algebraic Varieties

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Hacon, Christopher D. (Author), Kovács, Sándor (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2010.
Edition:1st ed. 2010.
Series:Oberwolfach Seminars, 41
Subjects:
Algebraic geometry.
Algebraic Geometry.
Online Access:Texto Completo
Table of Contents:
  • Basics
  • Preliminaries
  • Singularities
  • Recent advances in the minimal model program
  • The main result
  • Multiplier ideal sheaves
  • Finite generation of the restricted algebra
  • Log terminal models
  • Non-vanishing
  • Finiteness of log terminal models
  • Compact moduli spaces of canonically polarized varieties
  • Moduli problems
  • Hilbert schemes
  • The construction of the moduli space
  • Families and moduli functors
  • Singularities of stable varieties
  • Subvarieties of moduli spaces.

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