# The Virtual Resolutions Package for Macaulay2

## TL;DR

The paper introduces the VirtualResolution package for Macaulay2, enabling the construction and analysis of virtual resolutions for products of projective spaces, and generating curves in specific projective products.

## Contribution

It provides new computational tools for virtual resolutions in Macaulay2, specifically for products of projective spaces and generating curves in $P^1 imes P^2$.

## Key findings

- Tools for constructing virtual resolutions implemented
- Ability to generate curves in $P^1 imes P^2$ demonstrated
- Enhanced computational exploration of virtual resolutions achieved

## Abstract

We introduce the VirtualResolution package for the computer algebra system Macaulay2. This package has tools to construct, display, and study virtual resolutions for products of projective spaces. The package also has tools for generating curves in $\mathbb{P}^1\times\mathbb{P}^2$, providing sources for interesting virtual resolutions.