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

2020/08/02 by Vojta, Paul · 1 citation
#11J97 (Primary) 32H30 (Secondary) #Complex Variables (math.CV) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2008.00405

Abstract

In an earlier paper (joint with Min Ru), we proved a result on diophantine approximation 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 of closed subschemes. We also show that some notions of β(\mathscr L,D) coincide, and that they can all be evaluated as limits.

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• Hyperbolicity and GCD for n+1 divisors with non-empty intersection

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