This edit introduces tags that do not help to define the topic of the question. Tags should help to describe what the question is about, not just what it contains.
Can somebody explain in more detail what this means? I believe that mixed Hodge theory is to some extent about resolutions of singularities (that's how Deligne's hypercovers work, I think).
EDIT: I made 5 edit attempts in total, and then was banned from editing for some reason. So this disagreement apparently constitutes 20% of why I was banned. Does the MO community so strongly believe that you do not need to have any form of resolution of singularities to do mixed Hodge theory?