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An Evertse–Ferretti Nevanlinna constant and its consequences
- Source :
- Monatshefte für Mathematik, vol 196, iss 2, Monatshefte fur Mathematik, vol 196, iss 2
- Publication Year :
- 2021
- Publisher :
- eScholarship, University of California, 2021.
-
Abstract
- In this paper, we introduce the notion of an Evertse–Ferretti Nevanlinna constant and compare it with the birational Nevanlinna constant introduced by the authors in a recent joint paper. We then use it to recover several previously known results. This includes a 1999 example of Faltings from his Baker’s Garden article. We also extend the theory of these Nevanlinna constants to what we call “multidivisor Nevanlinna constants,” which allow the proximity function to involve the maximum of Weil functions for finitely many divisors.
- Subjects :
- Nevanlinna constant
Pure mathematics
Mathematics::Functional Analysis
Filtration method
Mathematics::Complex Variables
Nevanlinna theory
General Mathematics
Function (mathematics)
Schmidt's Subspace Theorem
Pure Mathematics
Integral points
Diophantine approximation
Constant (mathematics)
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Monatshefte für Mathematik, vol 196, iss 2, Monatshefte fur Mathematik, vol 196, iss 2
- Accession number :
- edsair.doi.dedup.....cff1bd6721f2fc6e2a117a4288f63cff