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Singularities of generic linkage via Frobenius powers.

Authors :
Li, Jiamin
Source :
Proceedings of the American Mathematical Society; Jan2024, Vol. 152 Issue 1, p53-61, 9p
Publication Year :
2024

Abstract

Let I be an equidimensional ideal of a ring polynomial R over \mathbb {C} and let J be its generic linkage. We prove that there is a uniform bound of the difference between the F-pure thresholds of I_p and J_p via the generalized Frobenius powers of ideals. This provides evidence that the F-pure threshold of an equidimensional ideal I is less than that of its generic linkage. As a corollary we recover a result on log canonical thresholds of generic linkage by Niu. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
POLYNOMIAL rings

Details

Language :
English
ISSN :
00029939
Volume :
152
Issue :
1
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
173310829
Full Text :
https://doi.org/10.1090/proc/16532