Good quotients of Mori dream spaces

2010/03/17 by Hendrik Bäker, Bäker, Hendrik
Computer Science · Mathematics · #14C20 #14L24 #14L30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1003.3408

openalex publication_date 2010/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that good quotients of algebraic varieties with finitely generated Cox ring have again finitely generated Cox ring.

Related

• Mori dream spaces of Calabi-Yau type and the log canonicity of the Cox rings
• Characterization of varieties of Fano type via singularities of Cox rings
• The Cox ring of an embedded variety
• Projectivized rank two toric vector bundles are Mori dream spaces
• Hypersurfaces in Mori dream spaces