# About a non-standard interpolation problem

## TL;DR

This paper explores a multipoint interpolation problem in several complex variables using algebraic methods and duality via residue generators, extending ideas from the one-variable case.

## Contribution

It introduces a novel algebraic approach to multipoint interpolation in multiple complex variables, leveraging Gorenstein algebra duality and residue generators.

## Key findings

- Develops a new algebraic framework for multipoint interpolation
- Utilizes residue generators associated with Gorenstein algebras
- Extends one-variable interpolation techniques to several variables

## Abstract

Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables. The duality realized by the residue generator associated with an underlying Gorenstein algebra, using the Lagrange interpolation polynomial, plays a key role in the arguments.