No, you don't own the property. Under what coherent system of thought could you possibly own something that was there before humans existed and will be there after humans are gone, and which you did nothing to create or maintain? Property ownership is a societal construct that we agree to use to improve our lives together. If it's not serving our needs we can change it.
That is no different from ownership of anything else, including one’s own body. The government has an interest in property and may tax it, but how is that different from auto registration, income tax, or any other tax liability? Someone can be imprisoned for daily to pay income tax, but the government doesn’t own their job or work.
You maintain the property to make it suitable for your needs. But if you didn't "maintain" it, nothing would actually happen to it. It would still be completely usable in 1 million years.
