Note on lower estimates of multiplicities

TL;DR

This paper presents a method to establish explicit lower bounds on multiplicities using lower saturated subsets of the non-negative real orthant, contributing to the theoretical understanding of multiplicity estimates.

Contribution

It introduces a new approach to deriving lower bounds on multiplicities through the use of lower saturated subsets of a0a0^n, providing explicit estimates.

Findings

Provides explicit lower bounds for multiplicities.

Uses lower saturated subsets to derive bounds.

Enhances theoretical tools for multiplicity estimation.

Abstract

In this note we would like to give an explicit lower bound by using a lower saturated subset of \mathbb{R}_{\geq 0}^n.