# Basics of jet modules and algebraic linear differential operators

## TL;DR

This paper reviews fundamental properties of jet modules and algebraic linear differential operators in algebraic geometry, serving as a reference for researchers without introducing new results.

## Contribution

It compiles essential properties of jet modules and differential operators to aid further research in algebraic geometry.

## Key findings

- Summarizes key properties of jet modules.
- Details algebraic properties of differential operators.
- Provides a reference framework for future studies.

## Abstract

In this paper, we collect the fundamental basic properties of jet modules in algebraic geometry and related properties of differential operators. We claim no originality but we want to provide a reference work for own research and the research of other people.