Note on constancy of some formal meromorphic maps

TL;DR

This paper discusses conditions under which certain formal meromorphic maps must be constant, emphasizing that Segre sets are unnecessary for this verification in specific CR geometry contexts.

Contribution

It shows that quotients of formal holomorphic maps real on a minimal CR submanifold are necessarily constant without using Segre sets.

Findings

Quotients of formal holomorphic maps are constant under given conditions.

Segre sets are not required to verify constancy.

Provides a simplified approach in CR geometry analysis.

Abstract

Segre sets are superfluous to verify that quotients of formal holomorphic maps that are real on a minimal generic submanifold of positive CR dimension must necessarily be constant.