Quang-Khai Nguyen

activity

20202026

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4 papers · 1 filter

math.CO2026

Spectrum of the refined Diophantine exponent

Quang-Khai Nguyen

The refined Diophantine exponent, recently introduced by the author, is a quantity that measures the periodicity of an infinite word. In this article, we study this exponent from c…

math.NT2026

Remarks on a theorem of Silverman

Khai-Hoan Nguyen-Dang, Quang-Khai Nguyen

Motivated by a theorem of Silverman, we consider the following problem. Let $A$ be an abelian variety over a global field $K$ . Given a non-torsion point $P \in A (K)$ , for a suffici…

math.NT2026

Transcendence and measures via the refined Diophantine exponent

Quang-Khai Nguyen

In 2007, Adamczewski and Bugeaud introduced the notion of the Diophantine exponent of an infinite word as a quantitative measure of repetition, leading to new transcendence results…

math.AG2026

Abelian varieties are de Rham $K (π, 1)$

Vo Quoc Bao, Quang-Khai Nguyen

Motivated by the work of Esnault-Hai, one has the notion of de Rham $K (π, 1)$ schemes, defined as follows. Given a smooth proper geometrically connected scheme $X$ over a field $k$ …

Spectrum of the refined Diophantine exponent

Remarks on a theorem of Silverman

Transcendence and measures via the refined Diophantine exponent

Abelian varieties are de Rham K(π,1)

Abelian varieties are de Rham $K (π, 1)$