Approximating rational points on toric varieties

DOI10.1090/tran/8318zbMath1464.14025arXiv2004.05212OpenAlexW3103218911MaRDI QIDQ5857750

David McKinnon, Matthew Satriano

Publication date: 7 April 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05212

zbMATH Keywords

rational pointsapproximation constantsrational curves of best approximation

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Rational points (14G05) Heights (11G50) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97)

Related Items (2)

Expectations, concave transforms, Chow weights and Roth's theorem for varieties ⋮ On curves with high multiplicity on \(\mathbb{P}(a,b,c)\) for \(\min(a,b,c) \leq 4\)

Cites Work

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• An analogue of Liouville's theorem and an application to cubic surfaces
• Equivariant completions of toric contraction morphisms
• Diophantine approximations and value distribution theory
• Seshadri constants, Diophantine approximation, and Roth's theorem for arbitrary varieties
• The approximation to algebraic numbers by rationals
• Introduction to Toric Varieties. (AM-131)
• A conjecture on rational approximations to rational points
• Rational approximations to algebraic numbers
• Introduction to the Mori program

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