Statement (i) is correct; the Periplus of the Erythraean Sea is a Greco-Roman text written in Greek, primarily serving as a guide for merchants navigating the trade routes of the Indian Ocean, including the Red Sea (Erythraean Sea). Statement (ii) is correct; the most important surviving manuscript of the text dates from the 10th century. Statement (iii) is correct; like many ancient manuscripts copied over centuries, the surviving text does contain errors and likely omissions compared to the original. Statement (iv) is incorrect; the text is generally considered to be the work of a single, anonymous author (often referred to as "the Erythraean scribe"), not multiple authors.