Daniela,
In AE English, there's a slight differentiation you can make. I'm addressing your words, "various implications." I like, in fact, how you worded that. Were you asking about subtle differences that might be inferred?
As mentioned above, "obscene" in AE means immoral and objectionable in a very blatant sexual way.
But we can also use it to mean "rude and disgusting" behavior, even if sexual contact isn't involved. Even if sex is not really the issue. You could think someone is horrible and repulsive and label him "obscene," even if there were no sexual connotation at all.
It's a very slight and refined difference, to be sure, but it's worth mentioning to you, I think.
AngelEyes