Serrated.
Back in the day before Dremel Tools , Post-It-Notes, Carbon Fiber, Fancy Sharpeners were on the Market - Serrated knives did exist.
Certain trades like gunsmiths, jewelers, watchmakers and other craftsmen, had tool supply companies.
Freehand.
These craftsman did things by hand, some power tools and fancy set ups still Cannot replace what a human can do by hand...
I mean they do NOT make a Pear Shape cutting burr to cut the seats for a Pear-Shaped diamond.
You can forget finding a Radiant Cut burr to cut the seats for a Radiant cut diamond and hitting the 15,000 Rpm setting on a Foredom Flexshaft to cut these seats all at the same time...
Needle files - including Diamond Impregnated Needle files, in flat, triangular, rat-tail...etc., is what folks used to get a badly serrated edge back "right".
Pike/ Norton Slip Stones come in these shapes too- again like gunsmiths, and other trades used, for the fine finish.
Rat-Tail diamond and Norton fine slip - good to go.
Want that serrated edge "polished" - Do it by hand.
Simichrome by Happich [tm], Fabuluster [tm] ( which replaced Red, Green, Black and White Rouge for many polishing applications btw)
One used Real Chamois on a "buff stick" - need round one - you made one.
Even SemiChrome on a toothpick will polish .
Top of the spine, and have serrations for thumb for better control...Dental Floss with Semichrome will get into these crevices...
Pipe Cleaners with various compounds work great for cleaning and polishing too.
Learning to do things by hand , Freehand if you will , allows one to better understand the correct basic fundamentals.
Then - Then if one chooses to use a newer tool , one has the Concepts to use that system and know if working correctly or not as needed for that tool and task.
If one does NOT have the correct basic fundamentals, and jumps in with new tech - mistakes happen faster, and more damage can be done faster.
Best kept secret for serrated blades?
Ice pick.
Folks use a steel on plain edges, ice pick fits them serrations real nice.
Learnt that back in 1960 when I was 5 years old.