Surfaces of globally F-regular and F-split type

2013/05/14 by Yoshinori Gongyo, Shunsuke Takagi, Gongyo, Yoshinori +1 · 2 citations
Mathematics · #13A35 (Secondary) #14J32 #14J45 (Primary) 14B05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1305.3056

openalex publication_date 2013/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that normal projective surfaces of dense globally F-split type (resp. globally F-regular type) are of Calabi-Yau type (resp. Fano type).

Citations

• Log pluricanonical representations and abundance conjecture
• Characterization of log del Pezzo pairs via anticanonical models

Cited by

• On Gorenstein ℚ_p-rational threefold and fourfold singularities
• On volumes and the generic invariance of Fano type varieties

Related

• Surfaces of globally F-regular type are of Fano type
• Global F-regularity for weak del Pezzo surfaces
• Klt del Pezzo surfaces which are not globally F-split
• Normal del Pezzo surfaces containing a nonrational singularity
• Global F-splitting of surfaces admitting an int-amplified endomorphim