He left Rome. Rome did not take him back.

Publius Ovidius Naso, author of the Metamorphoses and the Art of Love, was relegated by Augustus in 8 CE to Tomis, a Greek town on the Black Sea in what is now Constanța, Romania. He was not imprisoned. He was placed at the edge of the Roman world and told to remain.

He says the cause was a poem and a mistake, carmen et error. The poem is likely the Ars Amatoria; the mistake has never been securely identified. Do not pretend to have solved a puzzle Augustus meant to keep dark.

He writes the Tristia and the Epistulae ex Ponto: letters, laments, flattery, winter, language trouble, fear of raids, the social death of being unread in the capital. He dies at Tomis around 17 or 18 CE. There is no nostos.