Another view on smooth prime Fano threefolds of degree 22 with infinite automorphism groups

TL;DR

This paper provides an alternative, self-contained proof for classifying smooth prime Fano threefolds of degree 22 that have infinite automorphism groups, building on prior work by Kuznetsov, Prokhorov, and Shramov.

Contribution

It offers a new, self-contained proof of the classification of these threefolds, enhancing understanding and potentially simplifying the original classification approach.

Findings

Classification of smooth prime Fano threefolds of degree 22 with infinite automorphism groups

Alternative proof method established for the classification

Reinforces the understanding of automorphism groups in Fano threefolds

Abstract

We give a self-contained alternative proof of the classification of smooth prime Fano threefolds of degree 22 with infinite automorphism groups established by Kuznetsov, Prokhorov and Shramov.