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Objectivism is a philosophy presented by the Russian-American novelist and philosopher Ayn Rand in her books and writings, especially The Fountainhead (1943) and Atlas Shrugged (1957).
Rand was one of the most influential philosophers of the 20th century, and her ideas and values form a large part of the foundation of the modern-day libertarian movement.
Although Objectivism was at its height throughout the 50s, 60s, and 70s, today there are probably several tens of thousands of people who self-identify as being part of the Objectivist movement, which promotes Objectivism in various ways and, like any movement, also serves as an international social club.
Hence, to say that morality is objective is to say that whether an action is right depends on the nature of that action; whether a person is good depends on the nature of that person; etc. Well, that just sounds trivial.
Another way of stating the thesis that morality is objective is to say that values are 'part of the fabric of reality;' that is, there is some actual state of the world that corresponds to a value judgement.
By clarifying the theses of objectivism and subjectivism, I may have just drastically reduced the number of opponents I have, for many readers may have simply dropped out of the relativist camp by reason of hearing what exactly relativism is. Indeed, I suspect confusion with other issues may be relativism's strongest means of gaining support.