Gorenstein Fano threefolds of Picard number one with a $\mathbb{K}^*$-action and maximal orbit quotient $\mathbb{P}_2$

TL;DR

This paper classifies a specific class of Gorenstein Fano threefolds with Picard number one that admit a $\

Contribution

It provides a classification of non-toric, $\

Findings

Classification of these threefolds with $\

Identification of their geometric properties

Abstract

We classify the non-toric, $\mathbb{Q}$-factorial, Gorenstein, Fano threefolds of Picard number one with an effective $\mathbb{K}^*$-action and maximal orbit quotient $\mathbb{P}_2$.