My sense of the word says clearly that you cannot "share" something with a deceased person. Past tense is correct. If you wish to imply that in some respect the person is still alive, then it might be allowable, but you'd need to make it clear.
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wingfatOkay, but wouldn't you say, "Birds and dinosaurs share similar DNA."I would say, "yes."
wingfat1) "Do your father and mother have the same taste in music?"How about this: Does you mother have the same taste in music [that/as] your father had?
2) "Did your father and mother have the same taste in music?"