Open descent and strong approximation
Dasheng Wei
TL;DR
This paper introduces a new version of open descent theory and applies it to demonstrate that certain algebraic varieties satisfy strong approximation, advancing understanding in algebraic geometry.
Contribution
It presents a novel formulation of open descent theory and uses it to establish strong approximation for specific algebraic varieties.
Findings
New version of open descent theory developed
Proves strong approximation for some algebraic varieties
Enhances methods in algebraic geometry
Abstract
We give a new version of the open descent theory of Harari and Skorobogatov. As an application of the new version, we prove that some algebraic varieties satisfy strong approximation.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Meromorphic and Entire Functions · Polynomial and algebraic computation