# A global Torelli theorem for certain Calabi-Yau threefolds

## TL;DR

This paper proves a global Torelli theorem for a specific class of Calabi-Yau threefolds constructed from cyclic triple covers of projective three-space branched along hyperplane arrangements, advancing understanding of their moduli.

## Contribution

It establishes a global Torelli theorem for Calabi-Yau threefolds from cyclic triple covers of P^3 branched along hyperplane arrangements, a new class of Calabi-Yau varieties.

## Key findings

- Proves a global Torelli theorem for these Calabi-Yau threefolds.
- Connects the geometry of hyperplane arrangements with Calabi-Yau moduli.
- Provides tools for studying moduli spaces of these threefolds.

## Abstract

We establish a global Torelli theorem for the complete family of Calabi-Yau threefolds arising from cyclic triple covers of $\mathbb P^3$ branched along stable hyperplane arrangements.