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Norm forms for arbitrary number fields as products of linear polynomials
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2017 (English)In: Annales Scientifiques de l'Ecole Normale Supérieure, ISSN 0012-9593, E-ISSN 1873-2151, Vol. 50, no 6, p. 1383-1446Article in journal (Refereed) Published
Abstract [en]

Given a number field K=Q and a polynomial P ∈ Q[t], all of whose roots are in Q, let X be the variety defined by the equation NK(x) D P(t). Combining additive combinatorics with descent we show that the Brauer-Manin obstruction is the only obstruction to the Hasse principle and weak approximation on any smooth and projective model of X.

Place, publisher, year, edition, pages
Societe Mathematique de France , 2017. Vol. 50, no 6, p. 1383-1446
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Mathematics
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URN: urn:nbn:se:kth:diva-222788DOI: 10.24033/asens.2348ISI: 000424732200003Scopus ID: 2-s2.0-85040171668OAI: oai:DiVA.org:kth-222788DiVA, id: diva2:1182139
Note

QC 20180212

Available from: 2018-02-12 Created: 2018-02-12 Last updated: 2018-06-19Bibliographically approved

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Matthiesen, Lilian

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