K-stable divisors in $\mathbb{P}^1\times\mathbb{P}^1\times\mathbb{P}^2$ of degree $(1,1,2)$

TL;DR

This paper proves that all smooth divisors of degree (1,1,2) in the product space P^1×P^1×P^2 are K-stable, contributing to the understanding of stability conditions in algebraic geometry.

Contribution

It establishes the K-stability of a specific class of divisors in a complex threefold, expanding the class of known K-stable varieties.

Findings

All smooth divisors of degree (1,1,2) in P^1×P^1×P^2 are K-stable.

The result supports the link between geometric properties and stability in algebraic geometry.

Provides a new example of K-stable Fano varieties.

Abstract

We prove that every smooth divisor in $\mathbb{P}^1\times\mathbb{P}^1\times\mathbb{P}^2$ of degree $(1,1,2)$ is K-stable.