In private airstrip law does the air over the
adjcent farmers corn field belong to the airstrip? Meaning is there an
air easement concept that would prevent the building to appear to
close the airport?

Evidently the rule that you can't block access to a runway applies
only to public-use airports. The guy with a runway on his own
property, for his own use, had better make sure he can clear any
obstacle the neighbors might reasonably construct (or allow to grow).

all the best -- Dan Ford
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