Who wrote a Greek history of the Etruscans?

The correct answer is Claudius, who was a Roman Emperor and also known for his scholarly pursuits, including the study of various cultures and histories. Claudius wrote a history of the Etruscans that reflected his interest in the origins and development of the Etruscan civilization, which played a significant role in early Roman history. His writings contributed to the understanding of Etruscan culture, language, and their influence on Rome.

Ovid, Virgil, and Cicero, while significant literary figures in Roman history, did not produce a specific Greek history of the Etruscans. Ovid is known for his poetry, particularly "Metamorphoses," while Virgil's most famous work, the "Aeneid," is an epic poem. Cicero was a politician and orator who wrote extensively on philosophy and political theory rather than specifically addressing Etruscan history. Thus, Claudius is the most fitting choice, as he directly engaged in the writing of history regarding the Etruscans.