Surfaces of globally $F$-regular and $F$-split type

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).

18 pages, v2: expanded explanations, typos corrected

References in corpus (3)

• Log pluricanonical representations and abundance conjecture
• On the F-purity of isolated log canonical singularities
• Characterization of log del Pezzo pairs via anticanonical models

Cited by in corpus (1)

• Surfaces of globally $F$-regular type are of Fano type