# On smooth Fano fourfolds of Picard number two

## TL;DR

This paper classifies smooth Fano fourfolds with Picard number two that possess a general hypersurface Cox ring, advancing understanding of their geometric structure.

## Contribution

It provides a classification of a specific class of smooth Fano fourfolds based on their Cox ring properties, which was previously unexplored.

## Key findings

- Complete classification of the specified Fano fourfolds
- Identification of their Cox ring structures
- Insights into their geometric properties

## Abstract

We classify the smooth Fano 4-folds of Picard number two that have a general hypersurface Cox ring.