# Minkowski sums and Hadamard products of algebraic varieties

## TL;DR

This paper investigates the algebraic and geometric properties of Minkowski sums and Hadamard products of algebraic varieties, focusing on conditions under which these operations produce varieties and analyzing their characteristics.

## Contribution

It provides new insights into when Minkowski sums and Hadamard products of algebraic varieties are themselves varieties and explores their properties based on the original varieties.

## Key findings

- Conditions under which Minkowski sums are varieties
- Conditions under which Hadamard products are varieties
- Properties of these operations in algebraic geometry

## Abstract

We study Minkowski sums and Hadamard products of algebraic varieties. Specifically we explore when these are varieties and examine their properties in terms of those of the original varieties.