Bookmark this free online collocations dictionary for future reference.
You'll get your answer there.
Student or Learner
I have written a sentence with the part of "rumors have shown up" and my teacher noted that part and wrote this : "have you checked the collocation dictionary".
I think that I did it wrong but what are the better collocations for this sentence, "come up" may be?
You need to scroll down to 'Verbs collocated after Rumour'.
Actually, "show up" does not appear, and I would not count that as evidence that it was wrong. I would accept a collocation that was there as being right. So if you find a phrase in a dictionary it's probably right; if you can't find it, that doesn't mean it's wrong.
Still, I wouldn't say "rumours show up".
I would have said "Rumours have started to circulate" or "Rumours have started circulating".
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.