On Zariski decomposition problem

Abstract

We discuss different generalizations of Zariski decomposition, relations between them and connections with finite generation of divisorial algebras.

40 pages, LaTeX2e, needs diagrams.sty, to appear in Birational Geometry: Linear systems and finitely generated algebras. Proc. of Steklov Institute

References in corpus (1)

• Higher dimensional Zariski decompositions

Cited by in corpus (4)

• Ga-actions on affine cones
• Toward the second main theorem on complements: from local to global
• On log minimal models and Zariski decompositions II
• On existence of log minimal models and weak Zariski decompositions