Automorphisms of Fano threefolds of rank 2 and degree 28

TL;DR

This paper investigates the automorphism groups of specific smooth Fano threefolds with rank 2 and degree 28, focusing on cases where these groups are finite, thereby advancing understanding of their symmetries.

Contribution

It provides a detailed description of the automorphism groups for these Fano threefolds, highlighting cases with finite automorphism groups and contributing to classification efforts.

Findings

Automorphism groups are finite in certain cases.

Explicit descriptions of automorphism groups are provided.

Results aid in the classification of Fano threefolds.

Abstract

We describe the automorphism groups of smooth Fano threefolds of rank 2 and degree 28 in the cases where they are finite.