# Stability conditions on product threefolds of projective spaces and Abelian varieties

## TL;DR

This paper proves a BG-type inequality conjecture for certain product threefolds, establishing the existence of Bridgeland stability conditions on these complex algebraic varieties.

## Contribution

It demonstrates the validity of a key inequality conjecture, enabling the construction of Bridgeland stability conditions on specific product threefolds.

## Key findings

- BG-type inequality conjecture proven for the specified threefolds
- Existence of Bridgeland stability conditions established on these threefolds
- Advancement in understanding stability conditions on complex threefolds

## Abstract

In this paper, we prove BG-type inequality conjecture for threefolds in the title. In particular, there exist Bridgeland stability conditions on these threefolds.