# Automorphisms of threefolds that can be represented as an intersection of two quadrics

## TL;DR

This paper classifies certain three-dimensional algebraic varieties known as del Pezzo threefolds of degree 4, focusing on their automorphism groups and G-birational rigidity, advancing understanding of their symmetries and birational properties.

## Contribution

It provides a complete classification of G-birationally rigid del Pezzo threefolds of degree 4 and establishes the G-birational rigidity of a specific example.

## Key findings

- Classification of all potentially G-birationally rigid del Pezzo threefolds of degree 4
- Determination of their automorphism groups
- Proof of G-birational rigidity for one specific threefold

## Abstract

In this paper we classify all potentially G-birationally rigid del Pezzo threefolds of degree 4 and their automorphism groups and prove the G-birational rigidity of one of them