# Product theorem for K-stability

## TL;DR

This paper establishes a product formula for the delta-invariant and demonstrates that the product of K-stable Fano varieties retains K-stability, advancing understanding of stability in algebraic geometry.

## Contribution

It introduces a product formula for the delta-invariant and proves the stability of product varieties, providing new tools for studying K-stability of Fano varieties.

## Key findings

- Product formula for delta-invariant established
- Product of K-stable Fano varieties is K-stable
- Advances in stability criteria for algebraic varieties

## Abstract

We prove a product formula for $\delta$-invariant and as an application, we show that product of K-(semi, poly)stable Fano varieties is also K-(semi, poly)stable.