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Divisorial instability and Vojta's main conjecture for \(\mathbb{Q} \)-Fano varieties

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Publication:2236426
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DOI10.4310/AJM.2020.v24.n6.a3zbMath1473.14043arXiv1901.07942OpenAlexW3198047281WikidataQ122859907 ScholiaQ122859907MaRDI QIDQ2236426

Nathan Grieve

Publication date: 25 October 2021

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07942


zbMATH Keywords

Diophantine approximationFano varietiesK-stabilityNewton-Okounkov bodiesVojta's main conjecture


Mathematics Subject Classification ID

Rational points (14G05) Heights (11G50) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Divisors, linear systems, invertible sheaves (14C20) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)


Related Items (4)

Vertices of the Harder and Narasimhan polygons and the laws of large numbers ⋮ Expectations, concave transforms, Chow weights and Roth's theorem for varieties ⋮ A non-Archimedean approach to K-stability. II: Divisorial stability and openness ⋮ On arithmetic inequalities for points of bounded degree







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