So, let's suppose that you are too tragically hip to consider wearing a button-down collar. They are, after all, proverbial for their tedium.
Well, you know what's worse than looking tedious? Having your collar points curl under. You look clueless, rumpled, and possibly like a Beatnik.
Since you obviously would never go near starch (see: "proverbial for tedium"), your options are limited. May I suggest collar stays? They are cheap, they are invisible, and, best of all, they will not give everyone the impression that your mother never explained to you how shirts work.
And if your shirt doesn't admit them, well, you've been had.