A sharp bound for the resurgence of sums of ideals

We prove a sharp upper bound for the resurgence of sums of ideals involving disjoint sets of variables, strengthening work of Bisui--Hà--Jayanthan--Thomas. Complete solutions are delivered for two conjectures proposed by these authors. For given real numbers \(a\) and \(b\), we consider the set Res\...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Do Van Kien, Hop Dang Nguyen, Le Minh Thuan
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 27.10.2022
Subjects
Real numbers
Sums
Upper bounds
Online AccessGet full text

Cover

More Information
Summary:We prove a sharp upper bound for the resurgence of sums of ideals involving disjoint sets of variables, strengthening work of Bisui--Hà--Jayanthan--Thomas. Complete solutions are delivered for two conjectures proposed by these authors. For given real numbers \(a\) and \(b\), we consider the set Res\((a,b)\) of possible values of the resurgence of \(I+J\) where \(I\) and \(J\) are ideals in disjoint sets of variables having resurgence \(a\) and \(b\), respectively. Some questions and partial results about Res\((a,b)\) are discussed.
ISSN:2331-8422