On strongly F-regular inversion of adjunction

JOURNAL OF ALGEBRA

卷:434

Article

Das, Omprokash

关键词: Algebraic geometry;    Birational geometry;    Positive characteristic;    F-singularities;    Inversion of adjunction;    Strongly F-regular;    Sharply F-pure;    Purely F-regular;    KLT;    PLT;   

DOI  :  10.1016/j.jalgebra.2015.03.025

来源: Elsevier

【 摘 要 】

In this article we give two independent proofs of the positive characteristic analog of the log terminal inversion of adjunction. We show that for a pair (X, S + B) in characteristic p > 0, if (S-n, B-sn) is strongly F-regular, then S is normal and (X, S + B) is purely F-regular near S. We also answer affirmatively an open question about the equality of F-Different and Different. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free