I have a reservation under the name XXX.
Which of the following translates the above to German?
Ich habe eine Reservation unter dem Namen XXX.
Ich habe eine Reservation auf dem Namen XXX.
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Sign up to join this communityBoth are fine, but it is den instead of dem in the second case:
Ich habe eine Reservation unter dem Namen.
Ich habe eine Reservation auf den Namen.
Reservation is fine, but the word Reservierung sounds better to me (used exactly the same).
And of course you could also say:
Ich habe auf den Namen XXX reserviert.