Times Online - Argentina will ‘take measures’ to stop British oil drilling off Falklands
As the article points out, military action won't be needed on the part of the Argentines as.......
controls that block shipping from using Argentine ports could render oil exploration uneconomic.
We really don't have the time or resources to be fighting this one out, so it'll be up to the diplomats to square this one on their own, I think. Of course, the US Government could show how much they value our 'special relationship' and add their weight to persuading Argentina to go and bother someone else for a bit.