Publications at the Riemann Center
Strong approximation and descent
Abstract
We introduce descent methods to the study of strong approximation on algebraic varieties. We apply them to two classes of varieties defined by P(t) = NK/κ(z): firstly for quartic extensions of number fields K/κ and quadratic polynomials P(t) in one variable, and secondly for κ = ℚ, an arbitrary number field K and P(t) a product of linear polynomials over ℚ in at least two variables. Finally, we illustrate that a certain unboundedness condition at archimedean places is necessary for strong approximation.
Details
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Chinese Academy of Sciences (CAS)
- Type
- Article
- Journal
- Journal fur die Reine und Angewandte Mathematik
- Volume
- 2017
- Pages
- 235-258
- No. of pages
- 24
- ISSN
- 0075-4102
- Publication date
- 10.2017
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics, Applied Mathematics
- Electronic version(s)
-
https://doi.org/10.1515/crelle-2014-0149 (Access:
Unknown
)
