Apex domains cannot have CNAME records.
Question and response
Question
dig peterfischl.com. NS
Answer
peterfischl.com. 1 NS ns-1673.awsdns-17.co.uk.
peterfischl.com. 1 NS ns-1494.awsdns-58.org.
peterfischl.com. 1 NS ns-1261.awsdns-29.org.
peterfischl.com. 1 NS ns-1316.awsdns-36.org.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0