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Pré-Publication, Document De Travail Année : 2022

AN ANALYTIC VIEWPOINT ON THE HASSE PRINCIPLE

Résumé

Working on Berkovich analytic curves, we propose a geometric approach to the study of the Hasse principle over function fields of curves defined over a complete discretely valued field. Using it, we show the Hasse principle to be verified for certain families of projective homogeneous spaces. As a consequence, we also obtain said principle in the already known cases of quadratic forms and homogeneous varieties over unitary groups.
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hal-04011786 , version 1 (02-03-2023)

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Vlerë Mehmeti. AN ANALYTIC VIEWPOINT ON THE HASSE PRINCIPLE. 2023. ⟨hal-04011786⟩
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