A counterexample of Morrison's cone conjecture for a strict Calabi-Yau threefold

TL;DR

This paper presents a counterexample to Morrison's cone conjecture, challenging the assumption that the conjecture holds universally for strict Calabi-Yau threefolds.

Contribution

It provides the first known counterexample to Morrison's cone conjecture in the context of strict Calabi-Yau threefolds.

Findings

Counterexample disproves Morrison's cone conjecture for strict Calabi-Yau threefolds

Challenges previous beliefs about the universality of the conjecture

Highlights the need for revised conjectures or conditions

Abstract

We give a counterexample of Morrison's cone conjecture for a strict Calabi-Yau threefold.