Cut them up into smaller chunks if you want them to rot down quickly – carrot peelings rot down super fast.
Alternatively, if you’ve got chickens, rabbits or other small animals that like to nibble greens, you can regrow the ferny leaf part of the carrot plant by popping your carrot tops in a saucer of water. (The root vegetable won’t regrow but the green bit will come back.)
Carrots are greens: if you’ve got LOTS, add alongside carbon-based matter to keep the compost balanced.
Just wondering how composting carrots is important to the soul