A Result on Relative Conormal Spaces

TL;DR

This paper establishes a mathematical relationship between the relative conormal space of an analytic function and its restriction to a hyperplane, focusing on points where the conormal space is microlocally trivial, advancing understanding in microlocal analysis.

Contribution

It provides a new theoretical result linking the relative conormal space of a function to that of its hyperplane slice at specific points.

Findings

Proves a relationship between relative conormal spaces and hyperplane slices.

Identifies conditions where the conormal space is microlocally trivial.

Enhances understanding of microlocal properties of analytic functions.

Abstract

We prove a result on the relationship between the relative conormal space of an analytic function $f$ on affine space and the relative conormal space of $f$ restricted to a hyperplane slice, at a point where the relative conormal space of $f$ is "microlocally trivial".