A Kunz-type characterization of regular rings via alterations

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:224

Article

Ma, Linquan¹  Schwede, Karl² 

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

关键词: Multiplier ideals;    Projective dimension;    Regular rings;    Rational singularities;   

DOI  :  10.1016/j.jpaa.2019.07.008

来源: Elsevier

【 摘 要 】

We prove that a local domain R, essentially of finite type over a field, is regular if and only if for every regular alteration pi : X -> Spec R, we have that R pi O-*(x) has finite (equivalently zero in characteristic zero) projective dimension. Published by Elsevier B.V.

【 授权许可】

Free