Your answer is given in the notes for the second overload.
http://msdn.microsoft.com/en-us/library/cc190529.aspx
“A comparison uses a culture parameter to obtain culture-specific information, such as casing rules and the alphabetical order of individual characters. For example, a particular culture may indicate that certain combinations of characters are treated as one character, upper and lower case characters are compared in a certain way, or that the sort order of a character depends on the characters that precede or follow it. "
Another overload uses the default culture.
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