Hence "heavily". There's a bunch of theory crafting over people having limited scale wars in the Antarctic once the resource exploitation treaty expires.
Which, really makes me hope asteroid mining and Mars colonization is a thing well before then.
Basically because treaties matter, and there's no proven resources. No one's been able to go test drilling, and there's still other opportunities out there for oil relatively. But all the science suggests there should be a lot of it, and once the treaty expires the re-negotiation is going to happen in a very post-peak oil world compared to today.
The problem comes in when someone definitely finds something, and wants to start a project. Creates a point of friction and that's where you get wars or skirmishes starting.
Which, really makes me hope asteroid mining and Mars colonization is a thing well before then.