Birational geometry of weighted complete intersections of type $(12, 14)$ in $\mathbb{P} (1, 2, 3, 4, 7, 11)$

TL;DR

This paper proves that all quasismooth Fano threefolds of a specific weighted complete intersection type are birationally solid, advancing understanding of their birational geometry.

Contribution

It establishes the birational rigidity of quasismooth Fano threefolds of the given weighted complete intersection type.

Findings

All such threefolds are birationally solid.

The classification of these threefolds is refined.

Implications for the birational geometry of Fano varieties.

Abstract

We show that any quasismooth Fano threefold weighted complete intersections of type $(12, 14)$ in $\mathbb{P} (1, 2, 3, 4, 7, 11)$ is birationally solid.