Cut-off Function Lemma in Projective Spaces

TL;DR

This paper revisits a well-known cut-off function lemma in projective spaces, providing detailed computations to facilitate future applications in related mathematical fields.

Contribution

It offers detailed derivations of a classical lemma in projective spaces, enhancing clarity for subsequent research.

Findings

Detailed computation of the cut-off function lemma.

Clarification of the lemma's proof in projective spaces.

Potential applications in algebraic geometry and analysis.

Abstract

We study a cut-off function lemma in projective spaces. We believe that this is well-known. We provide the details of the computation for later uses.