If you have a brass build up, which can happen, you will have to remove it before you polish the neck sizing area of the die.
You're going to need something that will dissolve the brass, such as Sweets, Barnes CR10, or Wipe Out (might not be aggressive enough)
Cartridge case brass is mostly made up of Copper/72%, Zinc/24%, Lead/Zinc/Tin 4%.
The lineal striations on your necks can be caused by a couple of things.
Dirt (carbon), case fouling, lack of lube, too hard.
If you're getting accuracy issues, I'm going to go with too hard case necks, creating a tension issue.
If you're going to use anything to polish the insides of your dies, be extremely careful, polishing compounds are "abrasive," and they will remove steel, so is emery cloth.
If the dies were smooth enough before this happened, don't try fixing them.
Use a Copper solvent, along with a good cleaning brush.
I've had similar issues, and cleaned them with Copper Solvent, stainless steel bristle bore brush, which won't mark the die steel, followed by a a jag wrapped with very fine steel wool, soaked with Copper Solvent, then a good clean up afterwards with boiling water and some light lubricant.
Both copper and carbon can build up to leave such marks.