Characterization of varieties of Fano type via singularities of Cox rings

Abstract

We show that every Mori dream space of globally $F$-regular type is of Fano type. As an application, we give a characterization of varieties of Fano type in terms of the singularities of their Cox rings.

22 pages

References in corpus (4)

• On canonical bundle formulae and subadjunctions
• On images of weak Fano manifolds
• On the F-purity of isolated log canonical singularities
• Singularities of Cox Rings of Fano Varieties

Cited by in corpus (4)

• Frobenius Splitting in Commutative Algebra
• Singularities of Cox Rings of Fano Varieties
• Mori dream spaces of Calabi-Yau type and the log canonicity of the Cox rings
• Characterization of log del Pezzo pairs via anticanonical models