Finite generation of adjoint ring for log surfaces

Abstract

We prove the finite generation of the adjoint ring for $\mathbb{Q}$-factorial log surfaces over any algebraically closed field.

17 pages. Minor typos are corrected in the version 3

Cited by in corpus (3)

• Minimal model theory for log surfaces in Fujiki's class $\mathcal{C}$
• Remarks on the abundance conjecture
• The Sarkisov program on log surfaces