The Ru-Vojta result for subvarieties
Min Ru, Julie Tzu-Yueh Wang
TL;DR
This paper extends the Ru-Vojta theorem, originally involving divisors, to the setting of closed subschemes, broadening its applicability in arithmetic geometry.
Contribution
It generalizes the Ru-Vojta result by replacing divisors with closed subschemes, advancing the understanding of the theorem's scope.
Findings
Extended the Ru-Vojta theorem to closed subschemes
Broadened the theorem's applicability in arithmetic geometry
Provided new tools for studying subvarieties in this context
Abstract
In their recent article, Min Ru and Paul Vojta, among other things, proved the so-called general theorem (arithmetic part) which can be viewed as an extension of Schmidt's subspace theorem. In this note, we extend their result by replacing the divisors by closed subschemes.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Polynomial and algebraic computation · Analytic Number Theory Research