On the relative version of Mori dream spaces

DOI10.1007/s40879-022-00552-6zbMath1505.14031arXiv2012.10894OpenAlexW3114064751MaRDI QIDQ2157474

Rikito Ohta

Publication date: 22 July 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10894

zbMATH Keywords

minimal model programMori dream spaceCox sheafMori dream morphism

Mathematics Subject Classification ID

Rational and birational maps (14E05) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On images of Mori dream spaces
• Uniruledness of stable base loci of adjoint linear systems via Mori theory
• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• Geometric invariant theory via Cox rings
• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• Cox rings and pseudoeffective cones of projectivized toric vector bundles
• 4-dimensional symplectic contractions
• On the automorphisms of hypersurfaces
• On Cox rings of K3 surfaces
• Existence of minimal models for varieties of log general type
• Geometric Invariant Theory
• Mori dream spaces and GIT.