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arXiv · 2203.16234

An analytic viewpoint on the Hasse principle

Vlerë Mehmeti
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Abstract

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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Vlerë Mehmeti. 2022-03-30. An analytic viewpoint on the Hasse principle. https://arxiv.org/abs/2203.16234

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