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 bee...

Buy Now From Amazon

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interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.

  • Used Book in Good Condition
  • Used Book in Good Condition

Similar Products

Lectures on K3 Surfaces (Cambridge Studies in Advanced Mathematics)Analytic Methods in Algebraic Geometry (vol. 1 in the Surveys of Modern Mathematics series)3264 and All That: A Second Course in Algebraic GeometryRational Curves on Algebraic Varieties (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus