If you click through to the list of unanswered questions, sort them by votes, and go to the bottom of the list, you will see many questions that are of poor-quality and probably abandoned by the original poster. Just to give some examples:
https://math.stackexchange.com/questions/6722/greek-geometry-algebra is a very localised question (in terms of why it was asked) and the question itself is very open-ended. The original asker has not visited the site for about 6 months now.
Given the number of downvotes to https://math.stackexchange.com/questions/21715/invertible-linear-operator, it probably will not resurface on the front page, and given the user's previous interaction with other community members, it is unlikely to be fixed up to an acceptable level.
And you also find examples like https://math.stackexchange.com/questions/23852/3d-magnetic-fractal-approximating-morphs where the question is off-topic for this site, and the asker has not appeared for over a month now.
Q Should the moderators clean-up these low-quality questions by closure and/or deletion when appropriate?
I take "abandoned" to mean that the OP either has not appeared on Math.SE for a long period (2 months? 3 months?) or that he/she made no attempt to address clarification requests left in the comments.