Who should the authors of a corrigendum be? I have discovered an error in my paper published in a journal. I am a PhD student and the original paper was published with my advisor and two other researchers from different universities. The correction of the error, which was a significant amount of work, but luckily ultimately did not change any of the conclusions, was done in collaboration with my advisor, but without almost any interaction from the two external coauthors of the original paper. They know about it, though, and agreed with the changes I made.

So my question is: Should the authors of a corrigendum always be the same as the ones for the original paper? If this matters, my field is numerical mathematics/scientific computing.
I can think about a few arguments to include all original authors as authors of the corrigendum.

 They actually work on the corrigendum by reading your manuscript and making comments;
 The corrigendum has no "primary" value without the original paper, it can be considered as an extra chapter. It does not really matter that you worked on this chapter more than they, since they probably contributed to other parts of the paper;
How would it look if you publish corrigendum without them? A little bit like "These senior guys screw it up, but luckily I able to fix it", isn't it? Do you really think this is an impression you want to make considering their contribution?