Adjoint rings are finitely generated

Abstract

This paper proves finite generation of the log canonical ring without Mori theory.

completion of the project initiated in arXiv:0812.3046; v2,v3: presentation improved, includes parts of arXiv:0707.4414 in Sections 4 and 5

References in corpus (4)

• Introduction to the log minimal model program for log canonical pairs
• Relative critical exponents, non-vanishing and metrics with minimal singularities
• Quelques remarques sur la décomposition de Zariski divisorielle sur les variétés dont la première classe de Chern est nulle
• Minimal models, flips and finite generation : a tribute to V.V. SHOKUROV and Y.-T. SIU

Cited by in corpus (6)

• New outlook on the Minimal Model Program, I
• Alternate Compactifications of Moduli Spaces of Curves
• New outlook on the Minimal Model Program, II
• The Minimal Model Program Revisited
• On the semiampleness of the positive part of CKM Zariski decompositions
• Around and beyond the canonical class