On Frobenius liftability of surface singularities
Abstract
We show that a plt surface singularity (P\in X,B) is F -liftable if and only if it is F -pure and is not a rational double point of type E_{8}^{1} in characteristic p=5 . As a consequence, we prove the logarithmic extension theorem for F -pure surface pairs and Bogomolov–Sommese vanishing for globally F -split surface pairs. These results were previously known to hold only in characteristic p>5 .
Fields of Study & Subjects
Commutative Algebra and Its Applications
Polynomial and algebraic computation
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Documenta Mathematica
- Publisher
- European Mathematical Society - EMS - Publishing House GmbH
- Volume
- 31
- Issue
- 4
- Pages
- 905–934
- Publication date
- 14 April 2026
- Language
- EN