# On the resurgence and asymptotic resurgence of homogeneous ideals

@article{Jayanthan2021OnTR, title={On the resurgence and asymptotic resurgence of homogeneous ideals}, author={A. V. Jayanthan and Arvind Kumar and Vivek Mukundan}, journal={Mathematische Zeitschrift}, year={2021}, volume={302}, pages={2407 - 2434} }

Let K\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {K}}$$\end{document} be a field and R=K[x1,…,xn]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin…

## 4 Citations

### A duality theorem for the ic-resurgence of edge ideals

- Mathematics
- 2022

. The aim of this work is to use linear programming and polyhedral geometry to prove a duality formula for the ic-resurgence of edge ideals. We show that the ic-resurgence of the edge ideal I of a…

### Binomial expansion for saturated and symbolic powers of sums of ideals

- Mathematics
- 2021

There are two different notions for symbolic powers of ideals existing in the literature, one defined in terms of associated primes, the other in terms of minimal primes. Elaborating on an idea known…

### REGULARITY OF INTEGRAL CLOSURE OF POWERS OF EDGE IDEALS

- Mathematics
- 2021

In this article, we study the regularity of integral closure of powers of edge ideals. We obtain a lower bound for the regularity of integral closure of powers of edge ideals in terms of induced…

### A sharp bound for the resurgence of sums of ideals

- Mathematics
- 2022

. We prove a sharp upper bound for the resurgence of sums of ideals involving disjoint sets of variables, strengthening work of Bisui–H`a–Jayanthan– Thomas. Complete solutions are delivered for two…

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Let I and J be nonzero ideals in two Noetherian algebras A and B over a field k . Let $$I+J$$ I + J denote the ideal generated by I and J in $$A\otimes _k B$$ A ⊗ k B . We prove the following…

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All given rings in this paper are commutative, associative with identity, and Noetherian. Recently, L. Ein, R. Lazarsfeld, and K. Smith [ELS] discovered a remarkable and surprising fact about the…

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Given a nontrivial homogeneous ideal [Formula: see text], a problem of great recent interest has been the comparison of the [Formula: see text]th ordinary power of [Formula: see text] and the…

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We study algebras defined by finite sets G = {M1, ..., Mq} of monomials of a polynomial ring R. There are two basic algebras: (i) k[G] = k[M1, ..., Mq], the k-subalgebra of R spanned by the Mi, and…