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> 
> "Upvalues are local to the combination of a LuaState and a C library"
> 
> -- I thought upvalues where specific to a lua function (or more
> specifically a closure).
> 

Thx for the hint. I updated it with a link. 
You are right on the Lua side, but there are also upvalues on the C side; http://www.lua.org/manual/5.1/manual.html#3.4 

The header already stated: "Static variables vs upvalues (for C functions)", but I now added a link.