The document that provides for liturgical rubrics during Holy Week is Paschale Solemnitatis. On the matter of the veneration of the cross on Good Friday, it provides:
For veneration of the cross, let a cross be used that is of appropriate size and beauty, and let one or other of the forms for this rite be carried out with the splendor worthy of the mystery of our salvation (PS 68).
Since it is not precisely specified, at least in the English translation, that a corpus is required, it is reasonable to assume that a cross without a corpus will suffice.
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