F-singularities under generic linkage

JOURNAL OF ALGEBRA

卷:505

Article

Ma, Linquan¹  Page, Janet²  Rebecca, R. G.³  Taylor, William⁴  Zhang, Wenliang² 

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

[2] Univ Illinois, Dept Math, Chicago, IL 60607 USA

[3] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

[4] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA

关键词: F-singularities;    Generic linkage;    Test ideals;    F-pure thresholds;   

DOI  :  10.1016/j.jalgebra.2018.02.024

来源: Elsevier

【 摘 要 】

Let R = k[x(1),..., x(n)] be a polynomial ring over a prefect field of positive characteristic. Let I be an equi-dimensional ideal in R and let J be a generic link of I in S = R[u(ij)] c x r. We describe the parameter test submodule of S/J in terms of the test ideal of the pair (R, I) when a reduction of I is a complete intersection or almost complete intersection. As an application, we deduce a criterion for when S/J has F-rational singularities in these cases. We also compare the F-pure threshold of (R, I) and (S, J). Published by Elsevier Inc.

【 授权许可】

Free