Courants du type residuel attach\'es \`a une intersection compl\`ete

TL;DR

This paper constructs elementary currents associated with complete intersections to describe local ideals and provides a decomposition for holomorphic functions within this framework.

Contribution

It introduces a new method for constructing elementary currents in complete intersections and offers a decomposition technique for holomorphic functions.

Findings

Elementary currents describe local ideals in complete intersections

Decomposition of holomorphic functions achieved using these currents

Provides a new tool for complex analysis in algebraic geometry

Abstract

We construct in complete intersection's case, elementary currents which describe the local ideal, and give a decomposition in it for holomorphic function.