Conic bundle structures on Q-Fano threefolds

TL;DR

This paper establishes a sufficient condition under which certain Fano threefolds with terminal singularities admit a conic bundle structure, advancing understanding of their geometric configurations.

Contribution

It introduces a new criterion that guarantees conic bundle structures on Q-Fano threefolds with terminal singularities, expanding classification methods.

Findings

Provides a sufficient condition for conic bundle structures

Applies to Fano threefolds with terminal singularities

Enhances understanding of threefold geometric structures

Abstract

We obtain a sufficient condition for a Fano threefold with terminal singularities to have a conic bundle structure.