Asymptotic behaviour of the sectional ring

Abstract

The theory of the Okounkov body is a usual tool for analyzing the asymptotic behaviour of the sectional ring of a line bundle over a projective manifold. In this note, combined with the algebraic reduction, we study the asymptotic behaviour of the sectional ring of a line bundle over any arbitrary compact, normal, irreducible complex space.

Keywords

• Okounkov body
• canonical ring
• algebraic reduction