Cornell has this on their app for last year:
"In making admissions decisions, we give consideration, among other things, to diversity factors (including but not limited to racial or ethnic group identification, cultural, linguistic or economic group; sexual orientation; or other factors), obstacles that applicants have overcome, and/or discrimination that you have experienced. If you
choose, please submit a separate statement (in addition to the required personal statement) discussing any or all of these issues to the extent they apply to you."
So, I suppose you could consider this a diversity statement or an "additional statement."