Weak Approximation for Isotrivial Families
Zhiyu Tian, Hong R. Zong
TL;DR
This paper proves that isotrivial families of rationally connected varieties over the function field of a complex curve satisfy weak approximation, advancing understanding of rational points in algebraic geometry.
Contribution
It establishes the weak approximation property for a new class of algebraic varieties, specifically isotrivial families of rationally connected varieties over complex function fields.
Findings
Weak approximation holds for isotrivial families of rationally connected varieties.
The result applies over the function field of a smooth projective complex curve.
This advances the understanding of rational points in algebraic geometry.
Abstract
We prove weak approximation for isotrivial families of rationally connected varieties defined over the function field of a smooth projective complex curve.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Tensor decomposition and applications · Advanced Numerical Analysis Techniques