A generalized Join theorem for real analytic singularities

TL;DR

This paper extends the Join theorem to real analytic singularities, building upon the complex case proved by Némethi, and broadens the understanding of singularity interactions in real analytic geometry.

Contribution

It introduces a generalized Join theorem applicable to real analytic singularities, expanding the theoretical framework beyond complex singularities.

Findings

Established a generalized Join theorem for real analytic singularities

Connected the real and complex cases of the theorem

Provided new insights into the structure of real analytic singularities

Abstract

In this paper, we show a generalized Join theorem for real analytic singularities. For complex singularities, this theorem was proved by A. N\'emethi.