Strong approximation for the intersection of two quadrics
Dasheng Wei, Jie Xu, Yi Zhu
TL;DR
This paper investigates strong approximation properties for the intersection of two affine quadrics and applies the results to establish the fibration method for weak approximation over certain number fields.
Contribution
It introduces new strong approximation results for intersections of quadrics and extends the fibration method to rank four cases with specific fiber conditions.
Findings
Proves strong approximation for the intersection of two affine quadrics.
Establishes the fibration method for weak approximation over number fields.
Handles cases with nonsplit fibers split by quadratic extensions.
Abstract
We study strong approximation for the intersection of two affine quadrics. As its application, we prove the fibration method for weak approximation over number fields of rank four with nonsplit fibers split by quadratic extensions.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Advanced Fiber Optic Sensors