On the fibration method for rational points

2019/10/07 by Dasheng Wei, Wei, Dasheng
Engineering · Mathematics · #Advanced Harmonic Analysis Research #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1910.03647

openalex publication_date 2019/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study weak approximation on rationally connected varieties under an assumption of strong approximation for a "simple" variety or under Schinzel's hypothesis. We also get some unconditional results.

Citations

• Rational solutions of certain equations involving norms
• Universal torsors and values of quadratic polynomials represented by norms

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