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Asiae: objective genitive, after potentes, B. 204, 1; A. & G. 349, a.

Socius is generally in construction with an objective genitive, which names the purpose of the sociatio; whereas sodalis only with a subjective genitive, which names the other sodalis; socius periculi, culpæ, but sodalis meus.

The construction of the sentence is rather complex: Ovid's normal practice would be to employ an objective genitive with causa.

But laus de + ablative instead of the more usual objective genitive construction is supported by Tac Ann I 12 'addidit laudem de Augusto'.

The Genitive suī is regularly employed, like meī and tuī, as an Objective Genitive, e.g. oblītus suī, forgetful of himself; but it occasionally occurs—particularly in post-Augustan writers—in place of the Possessive suus; as, fruitur fāmā suī, he enjoys his own fame.