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In an earlier paper (joint with Min Ru), we proved a result on diophantineapproximation to Cartier divisors, extending a 2011 result of P. Autissier.This was recently extended to certain closed subschemes (in place of divisors)by Ru and Wang. In this paper we extend this result to a broader class ofclosed subschemes. We also show that some notions of $\beta(\mathscr L,D)$coincide, and that they can all be evaluated as limits.

Birational Nevanlinna constants, beta constants, and diophantine approximation to closed subschemes