Strong approximation and descent
From MaRDI portal
Publication:2408335
DOI10.1515/crelle-2014-0149zbMath1396.11095arXiv1311.3914OpenAlexW2964017722MaRDI QIDQ2408335
Publication date: 12 October 2017
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.3914
Rational points (14G05) Varieties over global fields (11G35) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25) Multiplicative and norm form equations (11D57)
Related Items (8)
On integral points on degree four del Pezzo surfaces ⋮ Arithmetic purity of strong approximation for complete toric varieties ⋮ Comparing descent obstruction and Brauer-Manin obstruction for open varieties ⋮ Integral points on conic log K3 surfaces ⋮ Strong approximation for a toric variety ⋮ Failures of weak approximation in families ⋮ On the algebraic Brauer classes on open degree four del Pezzo surfaces ⋮ Arithmetic purity of strong approximation for homogeneous spaces
Cites Work
- Strong approximation in families
- The defect of strong approximation for commutative algebraic groups
- La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
- Beyond the Manin obstruction. -- Appendix A by S. Siksek: 4-descent. -- Appendix B: The Grothendieck spectral sequence and the truncation functor
- Fibration method and Manin obstruction
- Rational solutions of certain equations involving norms
- Integral points for groups of multiplicative type
- Quadratic polynomials represented by norm forms
- Manin obstruction to strong approximation for homogeneous spaces
- Rational points on pencils of conics and quadrics with many degenerate fibres
- Universal torsors and values of quadratic polynomials represented by norms
- Integral Brauer-Manin obstructions for sums of two squares and a power
- Integral points for multi-norm tori
- On the equation N K /k (Ξ)=P (t )
- Le défaut d'approximation forte dans les groupes linéaires connexes
- Norm forms for arbitrary number fields as products of linear polynomials
- Groupe de Brauer et points entiers de deux familles de surfaces cubiques affines
- Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
- A.D. Alexandrov spaces with curvature bounded below
- Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.
- The Brauer-Manin obstructions for homogeneous spaces with connected or abelian stabilizer.
- Strong approximation for the total space of certain quadric fibrations
- The Hardy–Littlewood conjecture and rational points
- Norms as products of linear polynomials
- Two examples of Brauer-Manin obstruction to integral points
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Strong approximation and descent
