The stability threshold and Diophantine approximation

He, Yan; Ru, Min

doi:10.1090/bproc/64

The stability threshold and Diophantine approximation
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by Yan He and Min Ru HTML | PDF

Proc. Amer. Math. Soc. Ser. B 9 (2022), 241-253

Abstract:

The purpose of this paper is to use the filtration that appeared in Ru and Vojta [Amer. J. Math. 142 (2020), pp. 957-991] to extend the result of Blum-Jonsson [Adv. Math. 365 (2020), p. 57], as well as to explore some connections between the notion of the $K$-stability and Diophantine approximation, especially the $\beta$-constant and the Ru-Vojta’s theorem.

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