The exact details of serfdom varied from place to place and decade to decade.
Still, serfs were owned. You could go technical and say the serfs was owned by the property which in turn was owned by the landowner, but meh. They could also be bught and sold along with the property. Typically, a serf was not allowed to gain any personal property; everything he "owned" was owned by the landowner. It wasn't the landowner who got a cut, it was the serf who got a cut; typically just enough to sustain himself. Cities became paradises to serfs - if they managed to sneak some of the produce away and accumulate a small amount of wealth, they would run away to the city. If they managed to hide in the city for a full year, they'd be free from their serfdom. If they got caught, they got executed, of course...
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