Strong Approximation and a Conjecture of Harpaz and Wittenberg

DOI10.1093/imrn/rnx252zbMath1457.14050arXiv1509.07744OpenAlexW2964018498WikidataQ123179893 ScholiaQ123179893MaRDI QIDQ5855162

Damaris Schindler, Timothy D. Browning

Publication date: 15 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07744

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Fibrations, degenerations in algebraic geometry (14D06) Brauer groups of schemes (14F22) Rate of growth of arithmetic functions (11N56) Multiplicative and norm form equations (11D57)

Related Items (2)

Rational points on fibrations with few non-split fibres ⋮ Arithmetic purity of strong approximation for homogeneous spaces

Cites Work

• Quadratic polynomials represented by norm forms
• Universal torsors and values of quadratic polynomials represented by norms
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• Flèches de spécialisations en cohomologie étale et applications arithmétiques
• Descent on fibrations over P¹_k revisited
• ON THE SQUARE-FREE REPRESENTATION FUNCTION OF A NORM FORM AND NILSEQUENCES
• Descent on fibrations over the projective line
• Strong approximation for the total space of certain quadric fibrations
• On the fibration method for zero-cycles and rational points

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