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Classics as a discipline uses a lot of abbreviations, because ANRW is easier to write than Aufstieg und Niedergang der Römischen Welt.
Here are two sources of common abbreviations to refer to:
Greek names can be confusing to start with. What's more confusing is that spellings seem to vary wildly. That's because there are a dozen different ways to convert Greek characters into the Roman alphabet. Sadly, this is also true for every other language: Greek looks slightly different in French, and in German, etc.
Morford's character glossary is a good resource for forms of names, and should cover the most common variations.
Rules of thumb
-os can be -us
-k can be -c
-o could be -o or -ω or -Ω
Basics
Comprehensive Tisch Citing Sources help
Citing Classical Authors
Classical works are typically referred to in the text of your paper by chapter and verse, like Scripture, rather than in conventional footnote/reference style.
Plato Protagoras 309c
Virgil Aeneid 2.250-252
Note: For more formal publication, and if it's relevant to your argument, specify the edition of the work you're using with a full reference/footnote the first time you use it.
You can also use the abbreviations from the Oxford Classical Dictionary.
How to Cite a Work of Art in MLA (from Hacker Online)
Constable, John. Dedham Vale. 1802. Oil on canvas. Victoria and Albert Museum, London.
How to Cite Articles from LIMC
Boardman, John. "Atalante". Lexicon Iconographicum Mythologiae Classicae. Vol. 2, pt. 1. 1981. 16 vols. Print.