F-singularities under generic linkage

作者：Ma Linquan^*; Page Janet; Rebecca R G; Taylor William; Zhang Wenliang

来源：Journal of Algebra, 2018, 505: 194-210.

DOI：10.1016/j.jalgebra.2018.02.024

• F-singularities
• Generic linkage
• Test ideals
• F-pure thresholds

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.

• 出版日期2018-7-1