Finite generation of adjoint ring for log surfaces

2015/05/09 by Kenta Hashizume, Hashizume, Kenta · 1 citation
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG

paper · pdf · doi:10.48550/arxiv.1505.02282

17 pages. Minor typos are corrected in the version 3

openalex publication_date 2015/05/09 · arxiv created 2016/01/06 · arxiv updated 2016/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Cited by

• Remarks on the minimal model theory for log surfaces in the analytic setting

Related

• Adjoint rings are finitely generated
• The Sarkisov program on log surfaces
• Finite generation of the log canonical ring for 3-folds in char p
• Remarks on the minimal model theory for log surfaces in the analytic setting
• Minimal model theory for log surfaces