# Algebraic cones

## TL;DR

This paper characterizes algebraic cones using actions of the one-dimensional multiplicative algebraic monoid and algebraic group, providing a new perspective on their structure.

## Contribution

It introduces a novel characterization of algebraic cones through the actions of specific algebraic monoids and groups.

## Key findings

- Algebraic cones are characterized via monoid and group actions.
- Provides a new framework for understanding algebraic cones.
- Connects algebraic cones with algebraic monoid and group actions.

## Abstract

A characterization of algebraic cones in terms of actions of the one-dimensional multiplicative algebraic monoid ${\bf M}_{\rm m}$ and the algebraic group ${\bf G}_{\rm m}$ are given.